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243342 = 232111229
BaseRepresentation
bin111011011010001110
3110100210200
4323122032
530241332
65114330
72032311
oct733216
9410720
10243342
11156910
12b89a6
13869b8
1464978
154c17c
hex3b68e

243342 has 24 divisors (see below), whose sum is σ = 575640. Its totient is φ = 73680.

The previous prime is 243311. The next prime is 243343.

243342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 27 + 42 + 3 + 311 + 48 + 29 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243343) by changing a digit.

243342 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (23985).

2243342 is an apocalyptic number.

243342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243342 is an abundant number, since it is smaller than the sum of its proper divisors (332298).

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

243342 is a wasteful number, since it uses less digits than its factorization.

243342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1245 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 243342 is about 493.2970707393. The cubic root of 243342 is about 62.4317762220.

It can be divided in two parts, 24334 and 2, that added together give a square (24336 = 1562).

The spelling of 243342 in words is "two hundred forty-three thousand, three hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1229 2458 3687 7374 11061 13519 22122 27038 40557 81114 121671 243342