311971264 has 56 divisors (see below), whose sum is σ = 704746368. Its totient is φ = 135632640.

The previous prime is 311971223. The next prime is 311971271. The reversal of 311971264 is 462179113.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6559 + ... + 25825.

Almost surely, 2^311971264 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 311971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352373184).

311971264 is an abundant number, since it is smaller than the sum of its proper divisors (392775104).

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

311971264 is a wasteful number, since it uses less digits than its factorization.

311971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19313 (or 19303 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 311971264 is about 17662.7082861038. The cubic root of 311971264 is about 678.2214653456.

The spelling of 311971264 in words is "three hundred eleven million, nine hundred seventy-one thousand, two hundred sixty-four".