306111312 has 100 divisors (see below), whose sum is σ = 954179380. Its totient is φ = 94182912.

The previous prime is 306111287. The next prime is 306111319. The reversal of 306111312 is 213111603.

306111312 is a `hidden beast` number, since 30 + 611 + 13 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 261274896 = 6696^2 + 16164^2 .

It is a super-2 number, since 2×306111312² = 187408270668722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306111319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7764 + ... + 25932.

Almost surely, 2^306111312 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 306111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477089690).

306111312 is an abundant number, since it is smaller than the sum of its proper divisors (648068068).

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

306111312 is a wasteful number, since it uses less digits than its factorization.

306111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18202 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 306111312 is about 17496.0370369978. The cubic root of 306111312 is about 673.9481097803.

Adding to 306111312 its reverse (213111603), we get a palindrome (519222915).

The spelling of 306111312 in words is "three hundred six million, one hundred eleven thousand, three hundred twelve".