238342329 has 24 divisors (see below), whose sum is σ = 377100360. Its totient is φ = 144388608.

The previous prime is 238342303. The next prime is 238342331. The reversal of 238342329 is 923243832.

238342329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65367225 + 172975104 = 8085^2 + 13152^2 .

It is not a de Polignac number, because 238342329 - 2⁸ = 238342073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238342293 and 238342302.

It is not an unprimeable number, because it can be changed into a prime (238342529) 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, 22422 + ... + 31295.

It is an arithmetic number, because the mean of its divisors is an integer number (15712515).

Almost surely, 2^238342329 is an apocalyptic number.

238342329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

238342329 is a deficient number, since it is larger than the sum of its proper divisors (138758031).

238342329 is a wasteful number, since it uses less digits than its factorization.

238342329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53769 (or 53766 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 238342329 is about 15438.3395804083. The cubic root of 238342329 is about 620.0124251759.

The spelling of 238342329 in words is "two hundred thirty-eight million, three hundred forty-two thousand, three hundred twenty-nine".