311320992 has 48 divisors (see below), whose sum is σ = 823217472. Its totient is φ = 103011840.

The previous prime is 311320991. The next prime is 311321011. The reversal of 311320992 is 299023113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (311320991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1317 + ... + 24987.

It is an arithmetic number, because the mean of its divisors is an integer number (17150364).

Almost surely, 2^311320992 is an apocalyptic number.

311320992 is a gapful number since it is divisible by the number (32) 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 311320992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411608736).

311320992 is an abundant number, since it is smaller than the sum of its proper divisors (511896480).

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

311320992 is a wasteful number, since it uses less digits than its factorization.

311320992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23821 (or 23813 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 311320992 is about 17644.2906346501. The cubic root of 311320992 is about 677.7499099374.

The spelling of 311320992 in words is "three hundred eleven million, three hundred twenty thousand, nine hundred ninety-two".