312302320 has 80 divisors (see below), whose sum is σ = 795091968. Its totient is φ = 113137920.

The previous prime is 312302279. The next prime is 312302329. The reversal of 312302320 is 23203213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312302294 and 312302303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312302329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322477 + ... + 323443.

Almost surely, 2^312302320 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 312302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397545984).

312302320 is an abundant number, since it is smaller than the sum of its proper divisors (482789648).

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

312302320 is a wasteful number, since it uses less digits than its factorization.

312302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 312302320 is about 17672.0774104235. The cubic root of 312302320 is about 678.4612843466.

Adding to 312302320 its reverse (23203213), we get a palindrome (335505533).

The spelling of 312302320 in words is "three hundred twelve million, three hundred two thousand, three hundred twenty".