338316 has 36 divisors (see below), whose sum is σ = 871416. Its totient is φ = 102080.

The previous prime is 338309. The next prime is 338321. The reversal of 338316 is 613833.

It is a super-2 number, since 2×338316² = 228915431712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1336 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2³³⁸³¹⁶ 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 338316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

338316 is an abundant number, since it is smaller than the sum of its proper divisors (533100).

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

338316 is a wasteful number, since it uses less digits than its factorization.

338316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 338316 is about 581.6493789217. The cubic root of 338316 is about 69.6798989947.

The spelling of 338316 in words is "three hundred thirty-eight thousand, three hundred sixteen".