338130 has 72 divisors (see below), whose sum is σ = 1005732. Its totient is φ = 78336.

The previous prime is 338119. The next prime is 338137. The reversal of 338130 is 31833.

It can be written as a sum of positive squares in 6 ways, for example, as 178929 + 159201 = 423^2 + 399^2 .

It is a super-2 number, since 2×338130² = 228663793800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (338137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19882 + ... + 19898.

2³³⁸¹³⁰ is an apocalyptic number.

338130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502866).

338130 is an abundant number, since it is smaller than the sum of its proper divisors (667602).

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

338130 is a wasteful number, since it uses less digits than its factorization.

338130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 338130 is about 581.4894668006. The cubic root of 338130 is about 69.6671270723.

Adding to 338130 its reverse (31833), we get a palindrome (369963).

The spelling of 338130 in words is "three hundred thirty-eight thousand, one hundred thirty".