468320 (number)
468,320 (four hundred sixtyeight thousand three hundred twenty) is an even sixdigits composite number following 468319 and preceding 468321. In scientific notation, it is written as 4.6832 × 10^{5}. The sum of its digits is 23. It has a total of 7 prime factors and 24 positive divisors. There are 187,264 positive integers (up to 468320) that are relatively prime to 468320.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 23
 Digital Root 5
Name
Short name  468 thousand 320 

Full name  four hundred sixtyeight thousand three hundred twenty 
Notation
Scientific notation  4.6832 × 10^{5} 

Engineering notation  468.32 × 10^{3} 
Prime Factorization of 468320
Prime Factorization 2^{5} × 5 × 2927
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  29270  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 468,320 is 2^{5} × 5 × 2927. Since it has a total of 7 prime factors, 468,320 is a composite number.
Divisors of 468320
24 divisors
τ(n)  Total Divisors  24  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  1106784  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  638464  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  46116  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  684.33909723177  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  10.155260647064  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 468,320 can be divided by 24 positive divisors (out of which 20 are even, and 4 are odd). The sum of these divisors (counting 468,320) is 1,106,784, the average is 46,116.
Other Arithmetic Functions (n = 468320)
φ(n)  Euler Totient  187264  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  23408  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 39015  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 187,264 positive integers (less than 468,320) that are coprime with 468,320. And there are approximately 39,015 prime numbers less than or equal to 468,320.
Divisibility of 468320
m  2  3  4  5  6  7  8  9 

n mod m  0  2  0  0  2  6  0  5 
The number 468,320 is divisible by 2, 4, 5 and 8.
Classification of 468320
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
Base conversion (468320)
Base  System  Value 

2  Binary  1110010010101100000 
3  Ternary  212210102012 
4  Quaternary  1302111200 
5  Quinary  104441240 
6  Senary  14012052 
8  Octal  1622540 
10  Decimal  468320 
12  Duodecimal  1a7028 
16  Hexadecimal  72560 
20  Vigesimal  2iag0 
36  Base36  a1cw 
Basic calculations (n = 468320)
Multiplication
n×yn×2  936640 

n×3  1404960 
n×4  1873280 
n×5  2341600 
Division
n÷yn÷2  234160.000 

n÷3  156106.666 
n÷4  117080.000 
n÷5  93664.000 
Exponentiation
n^{y}n^{2}  219323622400 

n^{3}  102713638842368000 
n^{4}  48102851342657781760000 
n^{5}  22527527340793492353843200000 
Nth Root
^{y}√n^{2}√n  684.33909723177 

^{3}√n  77.657052315715 
^{4}√n  26.159875711321 
^{5}√n  13.617849839559 
468320 as geometric shapes
Circle
Radius = nDiameter  936640 

Circumference  2942541.3430583 
Area  689025480890.54 
Sphere
Radius = nVolume  4.3024588428088E+17 

Surface area  2756101923562.2 
Circumference  2942541.3430583 
Square
Length = nPerimeter  1873280 

Area  219323622400 
Diagonal  662304.49553057 
Cube
Length = nSurface area  1315941734400 

Volume  102713638842368000 
Space diagonal  811154.03420066 
Equilateral Triangle
Length = nPerimeter  1404960 

Area  94969914324.213 
Altitude  405577.01710033 
Triangular Pyramid
Length = nSurface area  379879657296.85 

Volume  1.2104918424297E+16 
Height  382381.67878007 
Cryptographic Hash Functions
md5  2a1c9f2e0b771b351a617286ebfd5a03 

sha1  90282a609bf17b1f4701f39e9db7b17b615e5213 
sha256  c2469d23230746836aa704159be81ea58fb7860932a301e1b2f3ff783dbfc9e4 
sha512  7d4ba0954163e8c1670da60e71986cba0d4ab8b69f20c56f507a20f5b284dbcdcee5354f4b3d2d7017a6c55e52ca34d6aec076287986fea3f58419653ccb2854 
ripemd160  889f3858458fcb5484682e9454baa866670119d8 