30338 has 16 divisors (see below), whose sum is σ = 57024. Its totient is φ = 11760.

The previous prime is 30323. The next prime is 30341. The reversal of 30338 is 83303.

It is a happy number.

30338 is an undulating number in base 14.

It is an unprimeable number.

30338 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 56 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (3564).

2³⁰³³⁸ is an apocalyptic number.

30338 is a deficient number, since it is larger than the sum of its proper divisors (26686).

30338 is a wasteful number, since it uses less digits than its factorization.

30338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 30338 is about 174.1780698021. The cubic root of 30338 is about 31.1885833750.

The spelling of 30338 in words is "thirty thousand, three hundred thirty-eight".