338442 has 16 divisors (see below), whose sum is σ = 729120. Its totient is φ = 104112.

The previous prime is 338431. The next prime is 338449. The reversal of 338442 is 244833.

It is a super-2 number, since 2×338442² = 229085974728, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁶ + 3¹⁰ + 4⁷ + 8 + 4⁹ + 2⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338442.

It is not an unprimeable number, because it can be changed into a prime (338449) by changing a digit.

338442 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 2092 + ... + 2247.

It is an arithmetic number, because the mean of its divisors is an integer number (45570).

2³³⁸⁴⁴² is an apocalyptic number.

338442 is an abundant number, since it is smaller than the sum of its proper divisors (390678).

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

338442 is a wasteful number, since it uses less digits than its factorization.

338442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357.

The product of its digits is 2304, while the sum is 24.

The square root of 338442 is about 581.7576815135. The cubic root of 338442 is about 69.6885482827.

It can be divided in two parts, 338 and 442, that added together give a triangular number (780 = T₃₉).

The spelling of 338442 in words is "three hundred thirty-eight thousand, four hundred forty-two".