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84364 = 22723131
BaseRepresentation
bin10100100110001100
311021201121
4110212030
510144424
61450324
7500650
oct244614
9137647
1084364
1158425
12409a4
132c527
1422a60
1519ee4
hex1498c

84364 has 24 divisors (see below), whose sum is σ = 177408. Its totient is φ = 34320.

The previous prime is 84349. The next prime is 84377. The reversal of 84364 is 46348.

It is an unprimeable 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, 579 + ... + 709.

It is an arithmetic number, because the mean of its divisors is an integer number (7392).

284364 is an apocalyptic number.

84364 is the 184-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704).

84364 is an abundant number, since it is smaller than the sum of its proper divisors (93044).

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

84364 is a wasteful number, since it uses less digits than its factorization.

84364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 84364 is about 290.4548157631. The cubic root of 84364 is about 43.8583599640.

Adding to 84364 its product of digits (2304), we get a palindrome (86668).

The spelling of 84364 in words is "eighty-four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 131 161 262 322 524 644 917 1834 3013 3668 6026 12052 21091 42182 84364