238340 has 24 divisors (see below), whose sum is σ = 530712. Its totient is φ = 89600.

The previous prime is 238339. The next prime is 238361. The reversal of 238340 is 43832.

238340 = T₁₀₁ + T₁₀₂ + ... + T₁₃₄.

238340 is digitally balanced in base 3, 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 92416 + 145924 = 304^2 + 382^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2²³⁸³⁴⁰ is an apocalyptic number.

238340 is a gapful number since it is divisible by the number (20) 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 238340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356).

238340 is an abundant number, since it is smaller than the sum of its proper divisors (292372).

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

238340 is a wasteful number, since it uses less digits than its factorization.

238340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 238340 is about 488.2007783689. The cubic root of 238340 is about 62.0010405653.

The spelling of 238340 in words is "two hundred thirty-eight thousand, three hundred forty".