313677320 has 64 divisors (see below), whose sum is σ = 784520640. Its totient is φ = 111904000.

The previous prime is 313677271. The next prime is 313677337. The reversal of 313677320 is 23776313.

It is a super-2 number, since 2×313677320² = 196786922164764800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16595 + ... + 30045.

It is an arithmetic number, because the mean of its divisors is an integer number (12258135).

Almost surely, 2^313677320 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 313677320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392260320).

313677320 is an abundant number, since it is smaller than the sum of its proper divisors (470843320).

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

313677320 is a wasteful number, since it uses less digits than its factorization.

313677320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13526 (or 13522 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 313677320 is about 17710.9378633657. The cubic root of 313677320 is about 679.4555330270.

The spelling of 313677320 in words is "three hundred thirteen million, six hundred seventy-seven thousand, three hundred twenty".