338 has 6 divisors (see below), whose sum is σ = 549. Its totient is φ = 156.

The previous prime is 337. The next prime is 347. The reversal of 338 is 833.

Subtracting from 338 its sum of digits (14), we obtain a square (324 = 18^{2}).

Multipling 338 by its product of digits (72), we get a square (24336 = 156^{2}).

It is a happy number.

338 is nontrivially palindromic in base 12.

338 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 289 + 49 = 17^2 + 7^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=13.

It is a super-2 number, since 2×338^{2} = 228488, which contains 22 as substring.

It is a magnanimous number.

It is a Duffinian number.

338 is an undulating number in base 5 and base 12.

It is a Curzon number.

It is a plaindrome in base 10, base 11 and base 15.

It is a nialpdrome in base 7, base 8 and base 13.

It is not an unprimeable number, because it can be changed into a prime (331) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20 + ... + 32.

338 is a deficient number, since it is larger than the sum of its proper divisors (211).

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

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

The sum of its prime factors is 28 (or 15 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 338 is about 18.3847763109. The cubic root of 338 is about 6.9658197679.

The spelling of 338 in words is "three hundred thirty-eight", and thus it is an aban number and an oban number.

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