311456672 has 12 divisors (see below), whose sum is σ = 613180386. Its totient is φ = 155728320.

The previous prime is 311456641. The next prime is 311456681. The reversal of 311456672 is 276654113.

It can be written as a sum of positive squares in only one way, i.e., 279692176 + 31764496 = 16724^2 + 5636^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 as a sum of consecutive naturals, namely, 4866479 + ... + 4866542.

Almost surely, 2^311456672 is an apocalyptic number.

311456672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311456672 is a deficient number, since it is larger than the sum of its proper divisors (301723714).

311456672 is an equidigital number, since it uses as much as digits as its factorization.

311456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733031 (or 9733023 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 311456672 is about 17648.1350856117. The cubic root of 311456672 is about 677.8483546879.

The spelling of 311456672 in words is "three hundred eleven million, four hundred fifty-six thousand, six hundred seventy-two".