312945930 has 240 divisors, whose sum is σ = 964035072. Its totient is φ = 72705600.

The previous prime is 312945901. The next prime is 312945947. The reversal of 312945930 is 39549213.

It is a happy number.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 3038259 + ... + 3038361.

Almost surely, 2^312945930 is an apocalyptic number.

312945930 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 312945930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482017536).

312945930 is an abundant number, since it is smaller than the sum of its proper divisors (651089142).

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

312945930 is a wasteful number, since it uses less digits than its factorization.

312945930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 312945930 is about 17690.2778384060. The cubic root of 312945930 is about 678.9270348014.

The spelling of 312945930 in words is "three hundred twelve million, nine hundred forty-five thousand, nine hundred thirty".