338532240 has 160 divisors (see below), whose sum is σ = 1095822720. Its totient is φ = 86372352.

The previous prime is 338532223. The next prime is 338532251. The reversal of 338532240 is 42235833.

338532240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338532240² = 229208155038835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 338532198 and 338532207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594676 + ... + 595244.

It is an arithmetic number, because the mean of its divisors is an integer number (6848892).

Almost surely, 2^338532240 is an apocalyptic number.

338532240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547911360).

338532240 is an abundant number, since it is smaller than the sum of its proper divisors (757290480).

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

338532240 is a wasteful number, since it uses less digits than its factorization.

338532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 338532240 is about 18399.2456367102. The cubic root of 338532240 is about 696.9474150116.

The spelling of 338532240 in words is "three hundred thirty-eight million, five hundred thirty-two thousand, two hundred forty".