312080900 has 36 divisors (see below), whose sum is σ = 717055668. Its totient is φ = 117488640.

The previous prime is 312080863. The next prime is 312080921. The reversal of 312080900 is 9080213.

312080900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1827904 + 310252996 = 1352^2 + 17614^2 .

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 11 ways as a sum of consecutive naturals, for example, 90089 + ... + 93488.

It is an arithmetic number, because the mean of its divisors is an integer number (19918213).

Almost surely, 2^312080900 is an apocalyptic number.

It is an amenable number.

312080900 is an abundant number, since it is smaller than the sum of its proper divisors (404974768).

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

312080900 is a wasteful number, since it uses less digits than its factorization.

312080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183608 (or 183601 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 312080900 is about 17665.8116145282. The cubic root of 312080900 is about 678.3009051192.

The spelling of 312080900 in words is "three hundred twelve million, eighty thousand, nine hundred".