307009312 has 48 divisors (see below), whose sum is σ = 640596600. Its totient is φ = 144578560.

The previous prime is 307009253. The next prime is 307009321. The reversal of 307009312 is 213900703.

It can be written as a sum of positive squares in 4 ways, for example, as 80928016 + 226081296 = 8996^2 + 15036^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34014 + ... + 42082.

Almost surely, 2^307009312 is an apocalyptic number.

307009312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320298300).

307009312 is an abundant number, since it is smaller than the sum of its proper divisors (333587288).

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

307009312 is a wasteful number, since it uses less digits than its factorization.

307009312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 307009312 is about 17521.6811978760. The cubic root of 307009312 is about 674.6064918097.

The spelling of 307009312 in words is "three hundred seven million, nine thousand, three hundred twelve".