313451712 has 252 divisors, whose sum is σ = 1094811120. Its totient is φ = 83976192.

The previous prime is 313451701. The next prime is 313451713. The reversal of 313451712 is 217154313.

313451712 is a `hidden beast` number, since 3 + 134 + 517 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (313451713) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1165114 + ... + 1165382.

Almost surely, 2^313451712 is an apocalyptic number.

313451712 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 313451712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547405560).

313451712 is an abundant number, since it is smaller than the sum of its proper divisors (781359408).

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

313451712 is a wasteful number, since it uses less digits than its factorization.

313451712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

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

The square root of 313451712 is about 17704.5675462577. The cubic root of 313451712 is about 679.2925976796.

The spelling of 313451712 in words is "three hundred thirteen million, four hundred fifty-one thousand, seven hundred twelve".