313912320 has 176 divisors, whose sum is σ = 1018718208. Its totient is φ = 82493440.

The previous prime is 313912309. The next prime is 313912363. The reversal of 313912320 is 23219313.

313912320 = T₂₈₅ + T₂₈₆ + ... + T₁₂₃₉.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1643425 + ... + 1643615.

Almost surely, 2^313912320 is an apocalyptic number.

313912320 is a gapful number since it is divisible by the number (30) 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 313912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509359104).

313912320 is an abundant number, since it is smaller than the sum of its proper divisors (704805888).

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

313912320 is a wasteful number, since it uses less digits than its factorization.

313912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 313912320 is about 17717.5709396068. The cubic root of 313912320 is about 679.6251682779.

The spelling of 313912320 in words is "three hundred thirteen million, nine hundred twelve thousand, three hundred twenty".