314276352 has 80 divisors (see below), whose sum is σ = 901713120. Its totient is φ = 96694272.

The previous prime is 314276351. The next prime is 314276363. The reversal of 314276352 is 253672413.

It is not an unprimeable number, because it can be changed into a prime (314276351) 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, 12099 + ... + 27837.

It is an arithmetic number, because the mean of its divisors is an integer number (11271414).

Almost surely, 2^314276352 is an apocalyptic number.

314276352 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 314276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450856560).

314276352 is an abundant number, since it is smaller than the sum of its proper divisors (587436768).

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

314276352 is a wasteful number, since it uses less digits than its factorization.

314276352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15757 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 314276352 is about 17727.8411545230. The cubic root of 314276352 is about 679.8877784821.

The spelling of 314276352 in words is "three hundred fourteen million, two hundred seventy-six thousand, three hundred fifty-two".