313528314 has 64 divisors (see below), whose sum is σ = 728082432. Its totient is φ = 88953600.

The previous prime is 313528277. The next prime is 313528339. The reversal of 313528314 is 413825313.

313528314 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254079 + ... + 255309.

It is an arithmetic number, because the mean of its divisors is an integer number (11376288).

Almost surely, 2^313528314 is an apocalyptic number.

313528314 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 313528314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364041216).

313528314 is an abundant number, since it is smaller than the sum of its proper divisors (414554118).

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

313528314 is a wasteful number, since it uses less digits than its factorization.

313528314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491.

The product of its digits is 8640, while the sum is 30.

The square root of 313528314 is about 17706.7307541511. The cubic root of 313528314 is about 679.3479288320.

The spelling of 313528314 in words is "three hundred thirteen million, five hundred twenty-eight thousand, three hundred fourteen".