338300 has 36 divisors (see below), whose sum is σ = 781200. Its totient is φ = 126720.

The previous prime is 338297. The next prime is 338309. The reversal of 338300 is 3833.

It is a happy number.

It is a super-2 number, since 2×338300² = 228893780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338300.

It is not an unprimeable number, because it can be changed into a prime (338309) 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, 1601 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (21700).

2³³⁸³⁰⁰ 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 338300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600).

338300 is an abundant number, since it is smaller than the sum of its proper divisors (442900).

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

338300 is a wasteful number, since it uses less digits than its factorization.

338300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

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

The square root of 338300 is about 581.6356247686. The cubic root of 338300 is about 69.6788005187.

338300 divided by its sum of digits (17) gives a triangular number (19900 = T₁₉₉).

The spelling of 338300 in words is "three hundred thirty-eight thousand, three hundred".