313281696 has 288 divisors, whose sum is σ = 1061786880. Its totient is φ = 80123904.

The previous prime is 313281673. The next prime is 313281713. The reversal of 313281696 is 696182313.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 2874090 + ... + 2874198.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2^313281696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313281696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530893440).

313281696 is an abundant number, since it is smaller than the sum of its proper divisors (748505184).

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

313281696 is a wasteful number, since it uses less digits than its factorization.

313281696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 313281696 is about 17699.7654221744. The cubic root of 313281696 is about 679.1697595169.

The spelling of 313281696 in words is "three hundred thirteen million, two hundred eighty-one thousand, six hundred ninety-six".