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396474624 = 28327133161
BaseRepresentation
bin10111101000011…
…011100100000000
31000122000222221100
4113220123210000
51302444141444
6103201454400
712552656460
oct2750334400
91018028840
10396474624
11193888287
12b0941400
13641a8a90
143a927ba0
1524c18e69
hex17a1b900

396474624 has 432 divisors, whose sum is σ = 1476127744. Its totient is φ = 99532800.

The previous prime is 396474613. The next prime is 396474677. The reversal of 396474624 is 426474693.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 396474624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499554 + ... + 6499614.

Almost surely, 2396474624 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 396474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738063872).

396474624 is an abundant number, since it is smaller than the sum of its proper divisors (1079653120).

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

396474624 is a wasteful number, since it uses less digits than its factorization.

396474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 396474624 is about 19911.6705476964. The cubic root of 396474624 is about 734.6353098468.

The spelling of 396474624 in words is "three hundred ninety-six million, four hundred seventy-four thousand, six hundred twenty-four".