312814314 has 48 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 97572480.

The previous prime is 312814277. The next prime is 312814349. The reversal of 312814314 is 413418213.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51919 + ... + 57629.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^312814314 is an apocalyptic number.

312814314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312814314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

312814314 is an abundant number, since it is smaller than the sum of its proper divisors (408954006).

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

312814314 is a wasteful number, since it uses less digits than its factorization.

312814314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5912 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 312814314 is about 17686.5574377831. The cubic root of 312814314 is about 678.8318424353.

The spelling of 312814314 in words is "three hundred twelve million, eight hundred fourteen thousand, three hundred fourteen".