334306944 has 96 divisors (see below), whose sum is σ = 965579940. Its totient is φ = 111022080.

The previous prime is 334306943. The next prime is 334306961. The reversal of 334306944 is 449603433.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 294465600 + 39841344 = 17160^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×334306944² = 223522265613238272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334306899 and 334306908.

It is not an unprimeable number, because it can be changed into a prime (334306943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599914 + ... + 600470.

Almost surely, 2^334306944 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 334306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482789970).

334306944 is an abundant number, since it is smaller than the sum of its proper divisors (631272996).

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

334306944 is a wasteful number, since it uses less digits than its factorization.

334306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 334306944 is about 18284.0625682587. The cubic root of 334306944 is about 694.0356820982.

The spelling of 334306944 in words is "three hundred thirty-four million, three hundred six thousand, nine hundred forty-four".