312810316 has 72 divisors (see below), whose sum is σ = 689759280. Its totient is φ = 123032448.

The previous prime is 312810301. The next prime is 312810341. The reversal of 312810316 is 613018213.

312810316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746355 + ... + 746773.

It is an arithmetic number, because the mean of its divisors is an integer number (9579990).

Almost surely, 2^312810316 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 312810316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344879640).

312810316 is an abundant number, since it is smaller than the sum of its proper divisors (376948964).

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

312810316 is a wasteful number, since it uses less digits than its factorization.

312810316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 312810316 is about 17686.4444137311. Note that the first 4 decimals coincide. The cubic root of 312810316 is about 678.8289504307.

Adding to 312810316 its reverse (613018213), we get a palindrome (925828529).

The spelling of 312810316 in words is "three hundred twelve million, eight hundred ten thousand, three hundred sixteen".