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342363 = 37217137
BaseRepresentation
bin1010011100101011011
3122101122010
41103211123
541423423
611201003
72624100
oct1234533
9571563
10342363
1121424a
12146163
13bcaa8
148caa7
156b693
hex5395b

342363 has 24 divisors (see below), whose sum is σ = 566352. Its totient is φ = 182784.

The previous prime is 342359. The next prime is 342371. The reversal of 342363 is 363243.

It is not a de Polignac number, because 342363 - 22 = 342359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (342343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2431 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (23598).

2342363 is an apocalyptic number.

342363 is a deficient number, since it is larger than the sum of its proper divisors (223989).

342363 is a wasteful number, since it uses less digits than its factorization.

342363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 342363 is about 585.1179368298. The cubic root of 342363 is about 69.9566398136.

It can be divided in two parts, 3423 and 63, that added together give a triangular number (3486 = T83).

The spelling of 342363 in words is "three hundred forty-two thousand, three hundred sixty-three".

Divisors: 1 3 7 17 21 49 51 119 137 147 357 411 833 959 2329 2499 2877 6713 6987 16303 20139 48909 114121 342363