314205312 has 64 divisors (see below), whose sum is σ = 836652960. Its totient is φ = 104478720.

The previous prime is 314205217. The next prime is 314205341. The reversal of 314205312 is 213502413.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218548 + ... + 219980.

Almost surely, 2^314205312 is an apocalyptic number.

314205312 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 314205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418326480).

314205312 is an abundant number, since it is smaller than the sum of its proper divisors (522447648).

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

314205312 is a wasteful number, since it uses less digits than its factorization.

314205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 314205312 is about 17725.8374132225. The cubic root of 314205312 is about 679.8365466419.

Adding to 314205312 its reverse (213502413), we get a palindrome (527707725).

The spelling of 314205312 in words is "three hundred fourteen million, two hundred five thousand, three hundred twelve".