312352720 has 20 divisors (see below), whose sum is σ = 726220260. Its totient is φ = 124941056.

The previous prime is 312352699. The next prime is 312352721. The reversal of 312352720 is 27253213.

312352720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 233356176 + 78996544 = 15276^2 + 8888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312352721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1952125 + ... + 1952284.

It is an arithmetic number, because the mean of its divisors is an integer number (36311013).

Almost surely, 2^312352720 is an apocalyptic number.

It is an amenable number.

312352720 is an abundant number, since it is smaller than the sum of its proper divisors (413867540).

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

312352720 is a wasteful number, since it uses less digits than its factorization.

312352720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904422 (or 3904416 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 312352720 is about 17673.5033312584. The cubic root of 312352720 is about 678.4977795493.

The spelling of 312352720 in words is "three hundred twelve million, three hundred fifty-two thousand, seven hundred twenty".