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342168 = 23353269
BaseRepresentation
bin1010011100010011000
3122101100220
41103202120
541422133
611200040
72623401
oct1234230
9571326
10342168
11214092
12146020
13bc988
148c9a8
156b5b3
hex53898

342168 has 32 divisors (see below), whose sum is σ = 874800. Its totient is φ = 111488.

The previous prime is 342143. The next prime is 342179. The reversal of 342168 is 861243.

It is a happy number.

342168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

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 342168.

It is an unprimeable number.

342168 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 7 ways as a sum of consecutive naturals, for example, 1138 + ... + 1406.

2342168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437400).

342168 is an abundant number, since it is smaller than the sum of its proper divisors (532632).

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

342168 is a wasteful number, since it uses less digits than its factorization.

342168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 342168 is about 584.9512800225. The cubic root of 342168 is about 69.9433555358.

The spelling of 342168 in words is "three hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 269 318 424 538 636 807 1076 1272 1614 2152 3228 6456 14257 28514 42771 57028 85542 114056 171084 342168