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342804 = 223721153
BaseRepresentation
bin1010011101100010100
3122102020110
41103230110
541432204
611203020
72625300
oct1235424
9572213
10342804
11214610
12146470
13c0057
148cd00
156b889
hex53b14

342804 has 72 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 87360.

The previous prime is 342803. The next prime is 342821. The reversal of 342804 is 408243.

It is a happy number.

342804 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 (21).

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 342804.

It is not an unprimeable number, because it can be changed into a prime (342803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6442 + ... + 6494.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2342804 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 342804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

342804 is an abundant number, since it is smaller than the sum of its proper divisors (691404).

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

342804 is a wasteful number, since it uses less digits than its factorization.

342804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

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

The square root of 342804 is about 585.4946626571. The cubic root of 342804 is about 69.9866641262.

The spelling of 342804 in words is "three hundred forty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 53 66 77 84 98 106 132 147 154 159 196 212 231 294 308 318 371 462 539 583 588 636 742 924 1078 1113 1166 1484 1617 1749 2156 2226 2332 2597 3234 3498 4081 4452 5194 6468 6996 7791 8162 10388 12243 15582 16324 24486 28567 31164 48972 57134 85701 114268 171402 342804