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342084 = 22329983
BaseRepresentation
bin1010011100001000100
3122101020210
41103201010
541421314
611155420
72623221
oct1234104
9571223
10342084
11214016
12145b70
13bc922
148c948
156b559
hex53844

342084 has 24 divisors (see below), whose sum is σ = 826560. Its totient is φ = 109984.

The previous prime is 342077. The next prime is 342101. The reversal of 342084 is 480243.

It is a happy number.

342084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 342084.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342084.

It is an unprimeable number.

342084 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, 144 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2342084 is an apocalyptic number.

It is an amenable number.

342084 is an abundant number, since it is smaller than the sum of its proper divisors (484476).

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

342084 is a wasteful number, since it uses less digits than its factorization.

342084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342084 is about 584.8794747638. The cubic root of 342084 is about 69.9376315224.

The spelling of 342084 in words is "three hundred forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 983 1966 2949 3932 5898 11796 28507 57014 85521 114028 171042 342084