314157312 has 288 divisors, whose sum is σ = 1093621760. Its totient is φ = 87091200.

The previous prime is 314157307. The next prime is 314157323. The reversal of 314157312 is 213751413.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080437 + ... + 2080587.

Almost surely, 2^314157312 is an apocalyptic number.

314157312 is a gapful number since it is divisible by the number (32) 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 314157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546810880).

314157312 is an abundant number, since it is smaller than the sum of its proper divisors (779464448).

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

314157312 is a wasteful number, since it uses less digits than its factorization.

314157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 314157312 is about 17724.4834057301. The cubic root of 314157312 is about 679.8019261620.

It can be divided in two parts, 3 and 14157312, that multiplied together give a triangular number (42471936 = T₉₂₁₆).

The spelling of 314157312 in words is "three hundred fourteen million, one hundred fifty-seven thousand, three hundred twelve".