313226880 has 256 divisors, whose sum is σ = 1073399040. Its totient is φ = 77496320.

The previous prime is 313226861. The next prime is 313226917. The reversal of 313226880 is 88622313.

It is a super-2 number, since 2×313226880² = 196222156709068800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1810474 + ... + 1810646.

It is an arithmetic number, because the mean of its divisors is an integer number (4192965).

Almost surely, 2^313226880 is an apocalyptic number.

313226880 is a gapful number since it is divisible by the number (30) 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 313226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536699520).

313226880 is an abundant number, since it is smaller than the sum of its proper divisors (760172160).

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

313226880 is a wasteful number, since it uses less digits than its factorization.

313226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 313226880 is about 17698.2168593336. The cubic root of 313226880 is about 679.1301449659.

The spelling of 313226880 in words is "three hundred thirteen million, two hundred twenty-six thousand, eight hundred eighty".