288342 has 24 divisors (see below), whose sum is σ = 635544. Its totient is φ = 94464.

The previous prime is 288317. The next prime is 288349. The reversal of 288342 is 243882.

It is a super-2 number, since 2×288342² = 166282217928, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288342.

It is not an unprimeable number, because it can be changed into a prime (288349) by changing a digit.

288342 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 1590.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2²⁸⁸³⁴² is an apocalyptic number.

288342 is an abundant number, since it is smaller than the sum of its proper divisors (347202).

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

288342 is a wasteful number, since it uses less digits than its factorization.

288342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 288342 is about 536.9748597467. The cubic root of 288342 is about 66.0646748949.

Adding to 288342 its sum of digits (27), we get a square (288369 = 537²).

It can be divided in two parts, 288 and 342, that added together give a triangular number (630 = T₃₅).

The spelling of 288342 in words is "two hundred eighty-eight thousand, three hundred forty-two".