338306 has 16 divisors (see below), whose sum is σ = 535680. Its totient is φ = 160080.

The previous prime is 338297. The next prime is 338309. The reversal of 338306 is 603833.

It is a super-2 number, since 2×338306² = 228901899272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338309) 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 7 ways as a sum of consecutive naturals, for example, 5516 + ... + 5576.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2³³⁸³⁰⁶ is an apocalyptic number.

338306 is a deficient number, since it is larger than the sum of its proper divisors (197374).

338306 is a wasteful number, since it uses less digits than its factorization.

338306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 338306 is about 581.6407826141. The cubic root of 338306 is about 69.6792124513.

The spelling of 338306 in words is "three hundred thirty-eight thousand, three hundred six".