306312 has 16 divisors (see below), whose sum is σ = 765840. Its totient is φ = 102096.

The previous prime is 306301. The next prime is 306329. The reversal of 306312 is 213603.

306312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 306291 and 306300.

It is an unprimeable number.

306312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6358 + ... + 6405.

It is an arithmetic number, because the mean of its divisors is an integer number (47865).

2³⁰⁶³¹² is an apocalyptic number.

It is an amenable number.

306312 is an abundant number, since it is smaller than the sum of its proper divisors (459528).

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

306312 is a wasteful number, since it uses less digits than its factorization.

306312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 306312 is about 553.4546051846. The cubic root of 306312 is about 67.4095358778.

Adding to 306312 its reverse (213603), we get a palindrome (519915).

The spelling of 306312 in words is "three hundred six thousand, three hundred twelve".