312443320 has 64 divisors (see below), whose sum is σ = 806469120. Its totient is φ = 106717824.

The previous prime is 312443279. The next prime is 312443347. The reversal of 312443320 is 23344213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312443291 and 312443300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77269 + ... + 81211.

It is an arithmetic number, because the mean of its divisors is an integer number (12601080).

Almost surely, 2^312443320 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 312443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403234560).

312443320 is an abundant number, since it is smaller than the sum of its proper divisors (494025800).

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

312443320 is a wasteful number, since it uses less digits than its factorization.

312443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 312443320 is about 17676.0663044694. The cubic root of 312443320 is about 678.5633741505.

Adding to 312443320 its reverse (23344213), we get a palindrome (335787533).

The spelling of 312443320 in words is "three hundred twelve million, four hundred forty-three thousand, three hundred twenty".