309680316 has 144 divisors (see below), whose sum is σ = 912038400. Its totient is φ = 87609600.

The previous prime is 309680251. The next prime is 309680317. The reversal of 309680316 is 613086903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309680317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594136 + ... + 594656.

It is an arithmetic number, because the mean of its divisors is an integer number (6333600).

Almost surely, 2^309680316 is an apocalyptic number.

309680316 is a gapful number since it is divisible by the number (36) 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 309680316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456019200).

309680316 is an abundant number, since it is smaller than the sum of its proper divisors (602358084).

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

309680316 is a wasteful number, since it uses less digits than its factorization.

309680316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 309680316 is about 17597.7361043971. The cubic root of 309680316 is about 676.5572211977.

It can be divided in two parts, 309 and 680316, that added together give a square (680625 = 825²).

The spelling of 309680316 in words is "three hundred nine million, six hundred eighty thousand, three hundred sixteen".