An Armstrong number, also known as a narcissistic number, is the sum of the cubes of the digits in the number. The list of Armstrong numbers for that range are as follows: 1,153,370,371,407.
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There are 232 numbers between 1 and 500 that are divisible by 3 or 5.
There are 43 natural numbers between 200 and 500 that are divisible by seven.
400 of them.
Exclusively, meaning not including 200 and 500, there are 149 even (divisible by two) numbers between 200 and 500.
If you include the number 3,000, there are exactly 2,001 4-digit numbers between 500 and 3000.