312907140 has 216 divisors, whose sum is σ = 1189482840. Its totient is φ = 65995776.

The previous prime is 312907139. The next prime is 312907163. The reversal of 312907140 is 41709213.

It can be written as a sum of positive squares in 4 ways, for example, as 52794756 + 260112384 = 7266^2 + 16128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113296 + ... + 116024.

It is an arithmetic number, because the mean of its divisors is an integer number (5506865).

Almost surely, 2^312907140 is an apocalyptic number.

312907140 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 312907140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594741420).

312907140 is an abundant number, since it is smaller than the sum of its proper divisors (876575700).

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

312907140 is a wasteful number, since it uses less digits than its factorization.

312907140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 312907140 is about 17689.1814395127. The cubic root of 312907140 is about 678.8989823858.

The spelling of 312907140 in words is "three hundred twelve million, nine hundred seven thousand, one hundred forty".