312300690 has 64 divisors (see below), whose sum is σ = 826906752. Its totient is φ = 74995200.

The previous prime is 312300689. The next prime is 312300743. The reversal of 312300690 is 96003213.

It is a super-2 number, since 2×312300690² = 195063441948952200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312300690.

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 31 ways as a sum of consecutive naturals, for example, 6225 + ... + 25755.

It is an arithmetic number, because the mean of its divisors is an integer number (12920418).

Almost surely, 2^312300690 is an apocalyptic number.

312300690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312300690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413453376).

312300690 is an abundant number, since it is smaller than the sum of its proper divisors (514606062).

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

312300690 is a wasteful number, since it uses less digits than its factorization.

312300690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19595.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 312300690 is about 17672.0312924123. The cubic root of 312300690 is about 678.4601039798.

The spelling of 312300690 in words is "three hundred twelve million, three hundred thousand, six hundred ninety".