314430112 has 48 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 152605440.

The previous prime is 314430043. The next prime is 314430133. The reversal of 314430112 is 211034413.

It is a self number, because there is not a number n which added to its sum of digits gives 314430112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153189 + ... + 155227.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 2^314430112 is an apocalyptic number.

314430112 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 314430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

314430112 is an abundant number, since it is smaller than the sum of its proper divisors (323029088).

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

314430112 is a wasteful number, since it uses less digits than its factorization.

314430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 314430112 is about 17732.1773056779. The cubic root of 314430112 is about 679.9986389823.

Adding to 314430112 its reverse (211034413), we get a palindrome (525464525).

The spelling of 314430112 in words is "three hundred fourteen million, four hundred thirty thousand, one hundred twelve".