322311312 has 160 divisors (see below), whose sum is σ = 958232320. Its totient is φ = 104976000.

The previous prime is 322311299. The next prime is 322311343. The reversal of 322311312 is 213113223.

322311312 is a `hidden beast` number, since 322 + 31 + 1 + 312 = 666.

It is a super-2 number, since 2×322311312² = 207769163686322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 31 ways as a sum of consecutive naturals, for example, 2134437 + ... + 2134587.

It is an arithmetic number, because the mean of its divisors is an integer number (5988952).

Almost surely, 2^322311312 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 322311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479116160).

322311312 is an abundant number, since it is smaller than the sum of its proper divisors (635921008).

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

322311312 is an equidigital number, since it uses as much as digits as its factorization.

322311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 322311312 is about 17953.0307190736. The cubic root of 322311312 is about 685.6332163087.

Adding to 322311312 its reverse (213113223), we get a palindrome (535424535).

It can be divided in two parts, 3223 and 11312, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 322311312 in words is "three hundred twenty-two million, three hundred eleven thousand, three hundred twelve".