32604 (number)
32,604 (thirtytwo thousand six hundred four) is an even fivedigits composite number following 32603 and preceding 32605. In scientific notation, it is written as 3.2604 × 10^{4}. The sum of its digits is 15. It has a total of 6 prime factors and 48 positive divisors. There are 8,640 positive integers (up to 32604) that are relatively prime to 32604.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 15
 Digital Root 6
Name
Short name  32 thousand 604 

Full name  thirtytwo thousand six hundred four 
Notation
Scientific notation  3.2604 × 10^{4} 

Engineering notation  32.604 × 10^{3} 
Prime Factorization of 32604
Prime Factorization 2^{2} × 3 × 11 × 13 × 19
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  16302  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 32,604 is 2^{2} × 3 × 11 × 13 × 19. Since it has a total of 6 prime factors, 32,604 is a composite number.
Divisors of 32604
48 divisors
τ(n)  Total Divisors  48  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  94080  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  61476  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1960  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  180.56577748843  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  16.634693877551  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 32,604 can be divided by 48 positive divisors (out of which 32 are even, and 16 are odd). The sum of these divisors (counting 32,604) is 94,080, the average is 1,960.
Other Arithmetic Functions (n = 32604)
φ(n)  Euler Totient  8640  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  180  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3499  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 8,640 positive integers (less than 32,604) that are coprime with 32,604. And there are approximately 3,499 prime numbers less than or equal to 32,604.
Divisibility of 32604
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  4  0  5  4  6 
The number 32,604 is divisible by 2, 3, 4 and 6.
Classification of 32604
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (32604)
Base  System  Value 

2  Binary  111111101011100 
3  Ternary  1122201120 
4  Quaternary  13331130 
5  Quinary  2020404 
6  Senary  410540 
8  Octal  77534 
10  Decimal  32604 
12  Duodecimal  16a50 
16  Hexadecimal  7f5c 
20  Vigesimal  41a4 
36  Base36  p5o 
Basic calculations (n = 32604)
Multiplication
n×yn×2  65208 

n×3  97812 
n×4  130416 
n×5  163020 
Division
n÷yn÷2  16302.000 

n÷3  10868.000 
n÷4  8151.000 
n÷5  6520.800 
Exponentiation
n^{y}n^{2}  1063020816 

n^{3}  34658730684864 
n^{4}  1130013255249305856 
n^{5}  36842952174148368129024 
Nth Root
^{y}√n^{2}√n  180.56577748843 

^{3}√n  31.946525272282 
^{4}√n  13.4374766042 
^{5}√n  7.9919761079247 
32604 as geometric shapes
Circle
Radius = nDiameter  65208 

Circumference  204856.97375528 
Area  3339578386.1586 
Sphere
Radius = nVolume  1.4517815160309E+14 

Surface area  13358313544.635 
Circumference  204856.97375528 
Square
Length = nPerimeter  130416 

Area  1063020816 
Diagonal  46109.018987612 
Cube
Length = nSurface area  6378124896 

Volume  34658730684864 
Space diagonal  56471.784529976 
Equilateral Triangle
Length = nPerimeter  97812 

Area  460301515.70383 
Altitude  28235.892264988 
Triangular Pyramid
Length = nSurface area  1841206062.8153 

Volume  4084570582430.9 
Height  26621.054524568 
Cryptographic Hash Functions
md5  f04202b8dae32f0ea3fa54515ff0dc08 

sha1  d0bf9df9f558d4322fe4f7e9132ddd41389eadd9 
sha256  174ada13bb0cfd94bd0f209b234fcfa395e0bad932f8808b9ce46db5563df103 
sha512  a880f1cc39b4d48ffce4142e8e5a4ee909655a6e8464888e0ec99671f8b9a0aae7bfc34f3e6cdc3f5196a1a979fbf92060d85b6a9a257f80bf6f7528d3be9419 
ripemd160  29a9241630262ae8877e9cb0fdbebadcc5d347e0 