314351120 has 40 divisors (see below), whose sum is σ = 762647616. Its totient is φ = 120272768.

The previous prime is 314351099. The next prime is 314351123. The reversal of 314351120 is 21153413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314351092 and 314351101.

It is not an unprimeable number, because it can be changed into a prime (314351123) 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, 83582 + ... + 87261.

Almost surely, 2^314351120 is an apocalyptic number.

It is an amenable number.

314351120 is an abundant number, since it is smaller than the sum of its proper divisors (448296496).

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

314351120 is a wasteful number, since it uses less digits than its factorization.

314351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170879 (or 170873 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 314351120 is about 17729.9498025234. The cubic root of 314351120 is about 679.9416905019.

The spelling of 314351120 in words is "three hundred fourteen million, three hundred fifty-one thousand, one hundred twenty".