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86374344 = 23374710939
BaseRepresentation
bin1010010010111…
…11011111001000
320000112021022210
411021133133020
5134102434334
612323145120
72066112150
oct511373710
9200467283
1086374344
1144835361
1224b151a0
1314b828a4
14b685760
1578b25e9
hex525f7c8

86374344 has 64 divisors (see below), whose sum is σ = 252057600. Its totient is φ = 24151104.

The previous prime is 86374319. The next prime is 86374357. The reversal of 86374344 is 44347368.

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, 2427 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (3938400).

Almost surely, 286374344 is an apocalyptic number.

86374344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86374344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126028800).

86374344 is an abundant number, since it is smaller than the sum of its proper divisors (165683256).

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

86374344 is a wasteful number, since it uses less digits than its factorization.

86374344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002 (or 10998 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 86374344 is about 9293.7798553656. The cubic root of 86374344 is about 442.0400173974.

The spelling of 86374344 in words is "eighty-six million, three hundred seventy-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 10939 21878 32817 43756 65634 76573 87512 131268 153146 229719 262536 306292 459438 514133 612584 918876 1028266 1542399 1837752 2056532 3084798 3598931 4113064 6169596 7197862 10796793 12339192 14395724 21593586 28791448 43187172 86374344