312002320 has 80 divisors (see below), whose sum is σ = 833660928. Its totient is φ = 106375680.

The previous prime is 312002269. The next prime is 312002323. The reversal of 312002320 is 23200213.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312002320.

It is not an unprimeable number, because it can be changed into a prime (312002323) 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 15 ways as a sum of consecutive naturals, for example, 105502 + ... + 108418.

Almost surely, 2^312002320 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 312002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416830464).

312002320 is an abundant number, since it is smaller than the sum of its proper divisors (521658608).

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

312002320 is a wasteful number, since it uses less digits than its factorization.

312002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 312002320 is about 17663.5874046016. The cubic root of 312002320 is about 678.2439697120.

Adding to 312002320 its reverse (23200213), we get a palindrome (335202533).

The spelling of 312002320 in words is "three hundred twelve million, two thousand, three hundred twenty".