338020 has 12 divisors (see below), whose sum is σ = 709884. Its totient is φ = 135200.

The previous prime is 338017. The next prime is 338027. The reversal of 338020 is 20833.

It is a happy number.

338020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 268324 + 69696 = 518^2 + 264^2 .

It is a super-2 number, since 2×338020² = 228515040800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337985 and 338003.

It is not an unprimeable number, because it can be changed into a prime (338027) 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 3 ways as a sum of consecutive naturals, for example, 8431 + ... + 8470.

It is an arithmetic number, because the mean of its divisors is an integer number (59157).

2³³⁸⁰²⁰ is an apocalyptic number.

It is an amenable number.

338020 is an abundant number, since it is smaller than the sum of its proper divisors (371864).

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

338020 is a wasteful number, since it uses less digits than its factorization.

338020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16910 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 338020 is about 581.3948744184. The cubic root of 338020 is about 69.6595715807.

Adding to 338020 its reverse (20833), we get a palindrome (358853).

It can be divided in two parts, 3380 and 20, that multiplied together give a square (67600 = 260²).

The spelling of 338020 in words is "three hundred thirty-eight thousand, twenty".