312232320 has 320 divisors, whose sum is σ = 1177426800. Its totient is φ = 78630912.

The previous prime is 312232289. The next prime is 312232321. The reversal of 312232320 is 23232213.

It is a happy number.

312232320 is a `hidden beast` number, since 312 + 2 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 312232293 and 312232302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984802 + ... + 985118.

Almost surely, 2^312232320 is an apocalyptic number.

312232320 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 312232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588713400).

312232320 is an abundant number, since it is smaller than the sum of its proper divisors (865194480).

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

312232320 is a wasteful number, since it uses less digits than its factorization.

312232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312232320 is about 17670.0967739285. The cubic root of 312232320 is about 678.4105900507.

Adding to 312232320 its reverse (23232213), we get a palindrome (335464533).

The spelling of 312232320 in words is "three hundred twelve million, two hundred thirty-two thousand, three hundred twenty".