309303680 has 128 divisors (see below), whose sum is σ = 862920000. Its totient is φ = 105971712.

The previous prime is 309303671. The next prime is 309303689. The reversal of 309303680 is 86303903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (309303671) and next prime (309303689).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309303689) 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 15 ways as a sum of consecutive naturals, for example, 218816 + ... + 220224.

Almost surely, 2^309303680 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 309303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431460000).

309303680 is an abundant number, since it is smaller than the sum of its proper divisors (553616320).

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

309303680 is an equidigital number, since it uses as much as digits as its factorization.

309303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 309303680 is about 17587.0315858021. The cubic root of 309303680 is about 676.2828315930.

The spelling of 309303680 in words is "three hundred nine million, three hundred three thousand, six hundred eighty".