309513344 has 64 divisors (see below), whose sum is σ = 741825600. Its totient is φ = 125660160.

The previous prime is 309513343. The next prime is 309513349. The reversal of 309513344 is 443315903.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×309513344² = 191597020228124672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 309513344.

It is not an unprimeable number, because it can be changed into a prime (309513343) by changing a digit.

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, 7934 + ... + 26114.

It is an arithmetic number, because the mean of its divisors is an integer number (11591025).

Almost surely, 2^309513344 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 309513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370912800).

309513344 is an abundant number, since it is smaller than the sum of its proper divisors (432312256).

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

309513344 is a wasteful number, since it uses less digits than its factorization.

309513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18221 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 309513344 is about 17592.9913317775. The cubic root of 309513344 is about 676.4356050069.

The spelling of 309513344 in words is "three hundred nine million, five hundred thirteen thousand, three hundred forty-four".