313984416 has 24 divisors (see below), whose sum is σ = 824209344. Its totient is φ = 104661440.

The previous prime is 313984397. The next prime is 313984423. The reversal of 313984416 is 614489313.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×313984416² = 197172426981722112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1635240 + ... + 1635431.

It is an arithmetic number, because the mean of its divisors is an integer number (34342056).

Almost surely, 2^313984416 is an apocalyptic number.

It is an amenable number.

313984416 is an abundant number, since it is smaller than the sum of its proper divisors (510224928).

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

313984416 is a wasteful number, since it uses less digits than its factorization.

313984416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270684 (or 3270676 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 313984416 is about 17719.6054132139. The cubic root of 313984416 is about 679.6771939576.

The spelling of 313984416 in words is "three hundred thirteen million, nine hundred eighty-four thousand, four hundred sixteen".