Search a number
-
+
86002344 = 23331932063
BaseRepresentation
bin1010010000001…
…00101010101000
312222211101001000
411020010222220
5134004033334
612311155000
72063002461
oct510045250
9188741030
1086002344
114460091a
1224975a60
1314a8247c
14b5c9d68
15783c299
hex5204aa8

86002344 has 64 divisors (see below), whose sum is σ = 240249600. Its totient is φ = 28505088.

The previous prime is 86002333. The next prime is 86002351. The reversal of 86002344 is 44320068.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40657 + ... + 42719.

It is an arithmetic number, because the mean of its divisors is an integer number (3753900).

Almost surely, 286002344 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 86002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120124800).

86002344 is an abundant number, since it is smaller than the sum of its proper divisors (154247256).

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

86002344 is a wasteful number, since it uses less digits than its factorization.

86002344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86002344 is about 9273.7448746448. The cubic root of 86002344 is about 441.4045064510.

The spelling of 86002344 in words is "eighty-six million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1158 1544 1737 2063 2316 3474 4126 4632 5211 6189 6948 8252 10422 12378 13896 16504 18567 20844 24756 37134 41688 49512 55701 74268 111402 148536 222804 398159 445608 796318 1194477 1592636 2388954 3185272 3583431 4777908 7166862 9555816 10750293 14333724 21500586 28667448 43001172 86002344