314340512 has 48 divisors (see below), whose sum is σ = 653909760. Its totient is φ = 148501248.

The previous prime is 314340511. The next prime is 314340529. The reversal of 314340512 is 215043413.

It is not an unprimeable number, because it can be changed into a prime (314340511) 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 7 ways as a sum of consecutive naturals, for example, 40013 + ... + 47219.

It is an arithmetic number, because the mean of its divisors is an integer number (13623120).

Almost surely, 2^314340512 is an apocalyptic number.

314340512 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 314340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326954880).

314340512 is an abundant number, since it is smaller than the sum of its proper divisors (339569248).

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

314340512 is a wasteful number, since it uses less digits than its factorization.

314340512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7285 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 314340512 is about 17729.6506451763. The cubic root of 314340512 is about 679.9340420454.

Adding to 314340512 its reverse (215043413), we get a palindrome (529383925).

The spelling of 314340512 in words is "three hundred fourteen million, three hundred forty thousand, five hundred twelve".