311374272 has 112 divisors (see below), whose sum is σ = 903427200. Its totient is φ = 93864960.

The previous prime is 311374267. The next prime is 311374279. The reversal of 311374272 is 272473113.

Its product of digits (7056) is a multiple of the sum of its prime divisors (784).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311374279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800254 + ... + 800642.

Almost surely, 2^311374272 is an apocalyptic number.

311374272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451713600).

311374272 is an abundant number, since it is smaller than the sum of its proper divisors (592052928).

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

311374272 is a wasteful number, since it uses less digits than its factorization.

311374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 311374272 is about 17645.8004068957. The cubic root of 311374272 is about 677.7885714865.

The spelling of 311374272 in words is "three hundred eleven million, three hundred seventy-four thousand, two hundred seventy-two".