306844944 has 160 divisors (see below), whose sum is σ = 948510720. Its totient is φ = 83635200.

The previous prime is 306844939. The next prime is 306844949. The reversal of 306844944 is 449448603.

It is an interprime number because it is at equal distance from previous prime (306844939) and next prime (306844949).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 306844896 and 306844905.

It is not an unprimeable number, because it can be changed into a prime (306844949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926859 + ... + 927189.

It is an arithmetic number, because the mean of its divisors is an integer number (5928192).

Almost surely, 2^306844944 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 306844944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474255360).

306844944 is an abundant number, since it is smaller than the sum of its proper divisors (641665776).

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

306844944 is a wasteful number, since it uses less digits than its factorization.

306844944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 306844944 is about 17516.9901524206. The cubic root of 306844944 is about 674.4860790514.

The spelling of 306844944 in words is "three hundred six million, eight hundred forty-four thousand, nine hundred forty-four".