305344 has 28 divisors (see below), whose sum is σ = 654304. Its totient is φ = 140544.

The previous prime is 305339. The next prime is 305351. The reversal of 305344 is 443503.

It is an unprimeable number.

305344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 649 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (23368).

2³⁰⁵³⁴⁴ 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 305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327152).

305344 is an abundant number, since it is smaller than the sum of its proper divisors (348960).

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

305344 is a wasteful number, since it uses less digits than its factorization.

305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 305344 is about 552.5794060585. The cubic root of 305344 is about 67.3384522680.

Adding to 305344 its reverse (443503), we get a palindrome (748847).

The spelling of 305344 in words is "three hundred five thousand, three hundred forty-four".