312307140 has 96 divisors (see below), whose sum is σ = 895700736. Its totient is φ = 81285120.

The previous prime is 312307103. The next prime is 312307147. The reversal of 312307140 is 41703213.

It is a super-3 number, since 3×312307140³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312307147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494625 + ... + 495255.

It is an arithmetic number, because the mean of its divisors is an integer number (9330216).

Almost surely, 2^312307140 is an apocalyptic number.

312307140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312307140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447850368).

312307140 is an abundant number, since it is smaller than the sum of its proper divisors (583393596).

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

312307140 is a wasteful number, since it uses less digits than its factorization.

312307140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 312307140 is about 17672.2137832248. The cubic root of 312307140 is about 678.4647747322.

The spelling of 312307140 in words is "three hundred twelve million, three hundred seven thousand, one hundred forty".