338248240 has 120 divisors (see below), whose sum is σ = 876912624. Its totient is φ = 121228800.

The previous prime is 338248231. The next prime is 338248243. The reversal of 338248240 is 42842833.

It is a super-2 number, since 2×338248240² = 228823743726195200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338248196 and 338248205.

It is not an unprimeable number, because it can be changed into a prime (338248243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803230 + ... + 803650.

Almost surely, 2^338248240 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 338248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438456312).

338248240 is an abundant number, since it is smaller than the sum of its proper divisors (538664384).

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

338248240 is a wasteful number, since it uses less digits than its factorization.

338248240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 338248240 is about 18391.5263096895. The cubic root of 338248240 is about 696.7524671179.

The spelling of 338248240 in words is "three hundred thirty-eight million, two hundred forty-eight thousand, two hundred forty".