313752276 has 72 divisors (see below), whose sum is σ = 823597320. Its totient is φ = 100590336.

The previous prime is 313752253. The next prime is 313752277. The reversal of 313752276 is 672257313.

313752276 is a `hidden beast` number, since 31 + 37 + 522 + 76 = 666.

313752276 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 227708100 = 9276^2 + 15090^2 .

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 313752276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313752277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414090 + ... + 414846.

Almost surely, 2^313752276 is an apocalyptic number.

313752276 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 313752276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411798660).

313752276 is an abundant number, since it is smaller than the sum of its proper divisors (509845044).

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

313752276 is a wasteful number, since it uses less digits than its factorization.

313752276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1188 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 313752276 is about 17713.0538304382. The cubic root of 313752276 is about 679.5096493748.

It can be divided in two parts, 313752 and 276, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 313752276 in words is "three hundred thirteen million, seven hundred fifty-two thousand, two hundred seventy-six".