305744 has 20 divisors (see below), whose sum is σ = 601524. Its totient is φ = 150528.

The previous prime is 305743. The next prime is 305749. The reversal of 305744 is 447503.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 67600 = 488^2 + 260^2 .

It is an Ulam number.

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 305744.

It is not an unprimeable number, because it can be changed into a prime (305741) by changing a digit.

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, 1454 + ... + 1650.

2³⁰⁵⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

305744 is a deficient number, since it is larger than the sum of its proper divisors (295780).

305744 is a wasteful number, since it uses less digits than its factorization.

305744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 305744 is about 552.9412265332. The cubic root of 305744 is about 67.3678438479.

The spelling of 305744 in words is "three hundred five thousand, seven hundred forty-four".