338332104 has 96 divisors (see below), whose sum is σ = 1002680640. Its totient is φ = 102211200.

The previous prime is 338332103. The next prime is 338332129. The reversal of 338332104 is 401233833.

338332104 is a `hidden beast` number, since 338 + 3 + 321 + 0 + 4 = 666.

338332104 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 2×338332104² = 228937225194133632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338332103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499414 + ... + 500090.

It is an arithmetic number, because the mean of its divisors is an integer number (10444590).

Almost surely, 2^338332104 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 338332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501340320).

338332104 is an abundant number, since it is smaller than the sum of its proper divisors (664348536).

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

338332104 is a wasteful number, since it uses less digits than its factorization.

338332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 338332104 is about 18393.8061314128. The cubic root of 338332104 is about 696.8100457574.

Adding to 338332104 its reverse (401233833), we get a palindrome (739565937).

It can be divided in two parts, 33833 and 2104, that added together give a cube (35937 = 33³).

The spelling of 338332104 in words is "three hundred thirty-eight million, three hundred thirty-two thousand, one hundred four".