313752096 has 144 divisors (see below), whose sum is σ = 1064659680. Its totient is φ = 89631360.

The previous prime is 313752091. The next prime is 313752113. The reversal of 313752096 is 690257313.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313752096.

It is not an unprimeable number, because it can be changed into a prime (313752091) 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 23 ways as a sum of consecutive naturals, for example, 38631 + ... + 46041.

It is an arithmetic number, because the mean of its divisors is an integer number (7393470).

Almost surely, 2^313752096 is an apocalyptic number.

313752096 is a gapful number since it is divisible by the number (36) 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 313752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532329840).

313752096 is an abundant number, since it is smaller than the sum of its proper divisors (750907584).

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

313752096 is a wasteful number, since it uses less digits than its factorization.

313752096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 313752096 is about 17713.0487494389. The cubic root of 313752096 is about 679.5095194296.

The spelling of 313752096 in words is "three hundred thirteen million, seven hundred fifty-two thousand, ninety-six".