311993920 has 112 divisors (see below), whose sum is σ = 876653568. Its totient is φ = 103495680.

The previous prime is 311993893. The next prime is 311993933. The reversal of 311993920 is 29399113.

311993920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×311993920² = 194680412233932800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311993920.

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, 67194 + ... + 71686.

It is an arithmetic number, because the mean of its divisors is an integer number (7827264).

Almost surely, 2^311993920 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 311993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438326784).

311993920 is an abundant number, since it is smaller than the sum of its proper divisors (564659648).

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

311993920 is a wasteful number, since it uses less digits than its factorization.

311993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 311993920 is about 17663.3496257080. The cubic root of 311993920 is about 678.2378828978.

The spelling of 311993920 in words is "three hundred eleven million, nine hundred ninety-three thousand, nine hundred twenty".