313074432 has 162 divisors, whose sum is σ = 993075356. Its totient is φ = 94786560.

The previous prime is 313074407. The next prime is 313074449. The reversal of 313074432 is 234470313.

It is a junction number, because it is equal to n+sod(n) for n = 313074396 and 313074405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278223 + ... + 279345.

Almost surely, 2^313074432 is an apocalyptic number.

313074432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496537678).

313074432 is an abundant number, since it is smaller than the sum of its proper divisors (680000924).

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

313074432 is a wasteful number, since it uses less digits than its factorization.

313074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 313074432 is about 17693.9094606025. The cubic root of 313074432 is about 679.0199491942.

The spelling of 313074432 in words is "three hundred thirteen million, seventy-four thousand, four hundred thirty-two".