311918272 has 56 divisors (see below), whose sum is σ = 648894816. Its totient is φ = 148482048.

The previous prime is 311918221. The next prime is 311918279. The reversal of 311918272 is 272819113.

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 not an unprimeable number, because it can be changed into a prime (311918279) 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, 460398 + ... + 461074.

Almost surely, 2^311918272 is an apocalyptic number.

311918272 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 311918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324447408).

311918272 is an abundant number, since it is smaller than the sum of its proper divisors (336976544).

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

311918272 is a wasteful number, since it uses less digits than its factorization.

311918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its digits is 6048, while the sum is 34.

The square root of 311918272 is about 17661.2081126972. The cubic root of 311918272 is about 678.1830618651.

The spelling of 311918272 in words is "three hundred eleven million, nine hundred eighteen thousand, two hundred seventy-two".