311714640 has 120 divisors (see below), whose sum is σ = 1075226568. Its totient is φ = 80870400.

The previous prime is 311714639. The next prime is 311714651. The reversal of 311714640 is 46417113.

It is a happy number.

311714640 is a `hidden beast` number, since 3 + 1 + 1 + 7 + 14 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129140496 + 182574144 = 11364^2 + 13512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 20790 + ... + 32490.

Almost surely, 2^311714640 is an apocalyptic number.

311714640 is a gapful number since it is divisible by the number (30) 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 311714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537613284).

311714640 is an abundant number, since it is smaller than the sum of its proper divisors (763511928).

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

311714640 is a wasteful number, since it uses less digits than its factorization.

311714640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11757 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 311714640 is about 17655.4422204600. The cubic root of 311714640 is about 678.0354485864.

The spelling of 311714640 in words is "three hundred eleven million, seven hundred fourteen thousand, six hundred forty".