312345306 has 72 divisors (see below), whose sum is σ = 847825524. Its totient is φ = 82373760.

The previous prime is 312345287. The next prime is 312345307. The reversal of 312345306 is 603543213.

It is a happy number.

312345306 is a `hidden beast` number, since 3 + 12 + 345 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 303073281 + 9272025 = 17409^2 + 3045^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312345306.

It is not an unprimeable number, because it can be changed into a prime (312345307) 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 35 ways as a sum of consecutive naturals, for example, 2155 + ... + 25086.

Almost surely, 2^312345306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312345306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423912762).

312345306 is an abundant number, since it is smaller than the sum of its proper divisors (535480218).

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

312345306 is a wasteful number, since it uses less digits than its factorization.

312345306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27276 (or 27266 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 312345306 is about 17673.2935809939. The cubic root of 312345306 is about 678.4924112354.

Adding to 312345306 its reverse (603543213), we get a palindrome (915888519).

The spelling of 312345306 in words is "three hundred twelve million, three hundred forty-five thousand, three hundred six".