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84323688 = 23343101809
BaseRepresentation
bin1010000011010…
…10110101101000
312212200002100120
411001222311220
5133041324223
612211203240
72042511441
oct501526550
9185602316
1084323688
11436646a9
12242a6520
1314615397
14b2b02c8
157609be3
hex506ad68

84323688 has 64 divisors (see below), whose sum is σ = 218116800. Its totient is φ = 27148800.

The previous prime is 84323671. The next prime is 84323693. The reversal of 84323688 is 88632348.

It is a super-2 number, since 2×843236882 = 14220968715842688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103828 + ... + 104636.

It is an arithmetic number, because the mean of its divisors is an integer number (3408075).

Almost surely, 284323688 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 84323688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109058400).

84323688 is an abundant number, since it is smaller than the sum of its proper divisors (133793112).

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

84323688 is a wasteful number, since it uses less digits than its factorization.

84323688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 84323688 is about 9182.7930391575. The cubic root of 84323688 is about 438.5137317701.

It can be divided in two parts, 843 and 23688, that added together give a triangular number (24531 = T221).

The spelling of 84323688 in words is "eighty-four million, three hundred twenty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 101 129 172 202 258 303 344 404 516 606 808 809 1032 1212 1618 2424 2427 3236 4343 4854 6472 8686 9708 13029 17372 19416 26058 34744 34787 52116 69574 81709 104232 104361 139148 163418 208722 245127 278296 326836 417444 490254 653672 834888 980508 1961016 3513487 7026974 10540461 14053948 21080922 28107896 42161844 84323688