312373314 has 128 divisors (see below), whose sum is σ = 793877760. Its totient is φ = 90201600.

The previous prime is 312373307. The next prime is 312373331. The reversal of 312373314 is 413373213.

312373314 is a `hidden beast` number, since 312 + 37 + 3 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1340542 + ... + 1340774.

It is an arithmetic number, because the mean of its divisors is an integer number (6202170).

Almost surely, 2^312373314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312373314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396938880).

312373314 is an abundant number, since it is smaller than the sum of its proper divisors (481504446).

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

312373314 is a wasteful number, since it uses less digits than its factorization.

312373314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 312373314 is about 17674.0859452476. The cubic root of 312373314 is about 678.5126907648.

The spelling of 312373314 in words is "three hundred twelve million, three hundred seventy-three thousand, three hundred fourteen".