312350306 has 32 divisors (see below), whose sum is σ = 488663280. Its totient is φ = 149653504.

The previous prime is 312350303. The next prime is 312350351. The reversal of 312350306 is 603053213.

It can be written as a sum of positive squares in 8 ways, for example, as 124523281 + 187827025 = 11159^2 + 13705^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312350303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1065896 + ... + 1066188.

Almost surely, 2^312350306 is an apocalyptic number.

312350306 is a deficient number, since it is larger than the sum of its proper divisors (176312974).

312350306 is a wasteful number, since it uses less digits than its factorization.

312350306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 312350306 is about 17673.4350368003. The cubic root of 312350306 is about 678.4960316345.

The spelling of 312350306 in words is "three hundred twelve million, three hundred fifty thousand, three hundred six".