311434368 has 64 divisors (see below), whose sum is σ = 945433920. Its totient is φ = 88980480.

The previous prime is 311434367. The next prime is 311434379. The reversal of 311434368 is 863434113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×311434368³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (311434367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55243 + ... + 60618.

It is an arithmetic number, because the mean of its divisors is an integer number (14772405).

Almost surely, 2^311434368 is an apocalyptic number.

It is an amenable number.

311434368 is an abundant number, since it is smaller than the sum of its proper divisors (633999552).

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

311434368 is a wasteful number, since it uses less digits than its factorization.

311434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115885 (or 115873 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 311434368 is about 17647.5031661706. The cubic root of 311434368 is about 677.8321736350.

It can be divided in two parts, 31143 and 4368, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 311434368 in words is "three hundred eleven million, four hundred thirty-four thousand, three hundred sixty-eight".