311421200 has 30 divisors (see below), whose sum is σ = 748190394. Its totient is φ = 124568320.

The previous prime is 311421137. The next prime is 311421211. The reversal of 311421200 is 2124113.

It can be written as a sum of positive squares in 3 ways, for example, as 9634816 + 301786384 = 3104^2 + 17372^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 388877 + ... + 389676.

Almost surely, 2^311421200 is an apocalyptic number.

It is an amenable number.

311421200 is an abundant number, since it is smaller than the sum of its proper divisors (436769194).

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

311421200 is a wasteful number, since it uses less digits than its factorization.

311421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778571 (or 778560 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 311421200 is about 17647.1300782875. The cubic root of 311421200 is about 677.8226201830.

Adding to 311421200 its reverse (2124113), we get a palindrome (313545313).

The spelling of 311421200 in words is "three hundred eleven million, four hundred twenty-one thousand, two hundred".