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3424008 = 233789229
BaseRepresentation
bin1101000011111100001000
320102221212010
431003330020
51334032013
6201215520
741050350
oct15037410
96387763
103424008
111a29565
1211915a0
1392b653
14651b60
154797c3
hex343f08

3424008 has 64 divisors (see below), whose sum is σ = 9936000. Its totient is φ = 963072.

The previous prime is 3423983. The next prime is 3424019. The reversal of 3424008 is 8004243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14838 + ... + 15066.

It is an arithmetic number, because the mean of its divisors is an integer number (155250).

Almost surely, 23424008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968000).

3424008 is an abundant number, since it is smaller than the sum of its proper divisors (6511992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3424008 is a wasteful number, since it uses less digits than its factorization.

3424008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3424008 is about 1850.4075226825. The cubic root of 3424008 is about 150.7225582528.

It can be divided in two parts, 34 and 24008, that added together give a palindrome (24042).

The spelling of 3424008 in words is "three million, four hundred twenty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 229 267 356 458 534 623 687 712 916 1068 1246 1374 1603 1832 1869 2136 2492 2748 3206 3738 4809 4984 5496 6412 7476 9618 12824 14952 19236 20381 38472 40762 61143 81524 122286 142667 163048 244572 285334 428001 489144 570668 856002 1141336 1712004 3424008