309344 has 24 divisors (see below), whose sum is σ = 696528. Its totient is φ = 132480.

The previous prime is 309317. The next prime is 309359. The reversal of 309344 is 443903.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 467 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (29022).

2³⁰⁹³⁴⁴ is an apocalyptic number.

It is an amenable number.

309344 is an abundant number, since it is smaller than the sum of its proper divisors (387184).

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

309344 is a wasteful number, since it uses less digits than its factorization.

309344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 309344 is about 556.1870189064. The cubic root of 309344 is about 67.6312216456.

The spelling of 309344 in words is "three hundred nine thousand, three hundred forty-four".