306944 has 36 divisors (see below), whose sum is σ = 674520. Its totient is φ = 138240.

The previous prime is 306941. The next prime is 306947. The reversal of 306944 is 449603.

306944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (306941) and next prime (306947).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306941) 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, 2762 + ... + 2870.

2³⁰⁶⁹⁴⁴ 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 306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337260).

306944 is an abundant number, since it is smaller than the sum of its proper divisors (367576).

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

306944 is a wasteful number, since it uses less digits than its factorization.

306944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 306944 is about 554.0252701818. The cubic root of 306944 is about 67.4558650672.

It can be divided in two parts, 3069 and 44, that added together give a palindrome (3113).

The spelling of 306944 in words is "three hundred six thousand, nine hundred forty-four".