312133890 has 32 divisors (see below), whose sum is σ = 749606400. Its totient is φ = 83181824.

The previous prime is 312133883. The next prime is 312133901. The reversal of 312133890 is 98331213.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 69802 + ... + 74138.

It is an arithmetic number, because the mean of its divisors is an integer number (23425200).

Almost surely, 2^312133890 is an apocalyptic number.

312133890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312133890 is an abundant number, since it is smaller than the sum of its proper divisors (437472510).

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

312133890 is a wasteful number, since it uses less digits than its factorization.

312133890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 312133890 is about 17667.3113404389. The cubic root of 312133890 is about 678.3392938093.

The spelling of 312133890 in words is "three hundred twelve million, one hundred thirty-three thousand, eight hundred ninety".