311344040 has 48 divisors (see below), whose sum is σ = 814900500. Its totient is φ = 106745856.

The previous prime is 311344021. The next prime is 311344063. The reversal of 311344040 is 40443113.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 260564164 + 50779876 = 16142^2 + 7126^2 .

It is a super-2 number, since 2×311344040² = 193870222487043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77465 + ... + 81384.

Almost surely, 2^311344040 is an apocalyptic number.

It is an amenable number.

311344040 is an abundant number, since it is smaller than the sum of its proper divisors (503556460).

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

311344040 is a wasteful number, since it uses less digits than its factorization.

311344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158874 (or 158863 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 311344040 is about 17644.9437516814. The cubic root of 311344040 is about 677.7666347915.

Adding to 311344040 its reverse (40443113), we get a palindrome (351787153).

The spelling of 311344040 in words is "three hundred eleven million, three hundred forty-four thousand, forty".