338442144 has 48 divisors (see below), whose sum is σ = 891757440. Its totient is φ = 112389120.

The previous prime is 338442131. The next prime is 338442187. The reversal of 338442144 is 441244833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×338442144² = 229086169670633472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19512 + ... + 32520.

It is an arithmetic number, because the mean of its divisors is an integer number (18578280).

Almost surely, 2^338442144 is an apocalyptic number.

It is an amenable number.

338442144 is an abundant number, since it is smaller than the sum of its proper divisors (553315296).

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

338442144 is a wasteful number, since it uses less digits than its factorization.

338442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13293 (or 13285 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 338442144 is about 18396.7971125411. The cubic root of 338442144 is about 696.8855816635.

Adding to 338442144 its reverse (441244833), we get a palindrome (779686977).

The spelling of 338442144 in words is "three hundred thirty-eight million, four hundred forty-two thousand, one hundred forty-four".