Search a number
-
+
84336 = 2437251
BaseRepresentation
bin10100100101110000
311021200120
4110211300
510144321
61450240
7500610
oct244560
9137616
1084336
11583aa
1240980
132c505
1422a40
1519ec6
hex14970

84336 has 40 divisors (see below), whose sum is σ = 249984. Its totient is φ = 24000.

The previous prime is 84319. The next prime is 84347. The reversal of 84336 is 63348.

84336 = 352 + 362 + ... + 662.

It is a super-2 number, since 2×843362 = 14225121792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 211 + ... + 461.

284336 is an apocalyptic number.

84336 is the 168-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

84336 is an abundant number, since it is smaller than the sum of its proper divisors (165648).

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

84336 is a wasteful number, since it uses less digits than its factorization.

84336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 84336 is about 290.4066114950. The cubic root of 84336 is about 43.8535073019.

It can be divided in two parts, 84 and 336, that multiplied together give a square (28224 = 1682).

The spelling of 84336 in words is "eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 251 336 502 753 1004 1506 1757 2008 3012 3514 4016 5271 6024 7028 10542 12048 14056 21084 28112 42168 84336