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342584 = 231117229
BaseRepresentation
bin1010011101000111000
3122101221022
41103220320
541430314
611202012
72624534
oct1235070
9571838
10342584
11214430
12146308
13bcc18
148cbc4
156b78e
hex53a38

342584 has 32 divisors (see below), whose sum is σ = 745200. Its totient is φ = 145920.

The previous prime is 342569. The next prime is 342593. The reversal of 342584 is 485243.

It is a d-powerful number, because it can be written as 35 + 42 + 57 + 211 + 8 + 49 .

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 342584.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382 + ... + 1610.

2342584 is an apocalyptic number.

342584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372600).

342584 is an abundant number, since it is smaller than the sum of its proper divisors (402616).

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

342584 is a wasteful number, since it uses less digits than its factorization.

342584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 342584 is about 585.3067571795. The cubic root of 342584 is about 69.9716892318.

The spelling of 342584 in words is "three hundred forty-two thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 229 374 458 748 916 1496 1832 2519 3893 5038 7786 10076 15572 20152 31144 42823 85646 171292 342584