338306960 has 20 divisors (see below), whose sum is σ = 786563868. Its totient is φ = 135322752.

The previous prime is 338306923. The next prime is 338306963. The reversal of 338306960 is 69603833.

It can be written as a sum of positive squares in 2 ways, for example, as 142754704 + 195552256 = 11948^2 + 13984^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×338306960² = 228903198368883200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338306963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2114339 + ... + 2114498.

Almost surely, 2^338306960 is an apocalyptic number.

It is an amenable number.

338306960 is an abundant number, since it is smaller than the sum of its proper divisors (448256908).

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

338306960 is a wasteful number, since it uses less digits than its factorization.

338306960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228850 (or 4228844 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 338306960 is about 18393.1226277650. The cubic root of 338306960 is about 696.7927836003.

The spelling of 338306960 in words is "three hundred thirty-eight million, three hundred six thousand, nine hundred sixty".