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84344 = 2313811
BaseRepresentation
bin10100100101111000
311021200212
4110211320
510144334
61450252
7500621
oct244570
9137625
1084344
1158407
1240988
132c510
1422a48
1519ece
hex14978

84344 has 16 divisors (see below), whose sum is σ = 170520. Its totient is φ = 38880.

The previous prime is 84319. The next prime is 84347. The reversal of 84344 is 44348.

It is a super-2 number, since 2×843442 = 14227820672, which contains 22 as substring.

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 84344.

It is not an unprimeable number, because it can be changed into a prime (84347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302 + ... + 509.

284344 is an apocalyptic number.

It is an amenable number.

84344 is an abundant number, since it is smaller than the sum of its proper divisors (86176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85260).

84344 is a wasteful number, since it uses less digits than its factorization.

84344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 84344 is about 290.4203849595. The cubic root of 84344 is about 43.8548938863.

The spelling of 84344 in words is "eighty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 811 1622 3244 6488 10543 21086 42172 84344