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1086344168 = 237132791453
BaseRepresentation
bin100000011000000…
…0100101111101000
32210201011000001012
41000300010233220
54211101003133
6255444043052
735630526110
oct10060045750
92721130035
101086344168
115082384a8
12263993488
131440ac100
14a43c6040
1565589b48
hex40c04be8

1086344168 has 96 divisors (see below), whose sum is σ = 2554387200. Its totient is φ = 424030464.

The previous prime is 1086344153. The next prime is 1086344179. The reversal of 1086344168 is 8614436801.

It is a super-2 number, since 2×10863441682 = 2360287302695224448, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746930 + ... + 748382.

It is an arithmetic number, because the mean of its divisors is an integer number (26608200).

Almost surely, 21086344168 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 1086344168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277193600).

1086344168 is an abundant number, since it is smaller than the sum of its proper divisors (1468043032).

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

1086344168 is a wasteful number, since it uses less digits than its factorization.

1086344168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 1086344168 is about 32959.7355571916. The cubic root of 1086344168 is about 1027.9906053737.

The spelling of 1086344168 in words is "one billion, eighty-six million, three hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 79 91 104 158 169 182 316 338 364 553 632 676 728 1027 1106 1183 1352 1453 2054 2212 2366 2906 4108 4424 4732 5812 7189 8216 9464 10171 11624 13351 14378 18889 20342 26702 28756 37778 40684 53404 57512 75556 81368 93457 106808 114787 132223 151112 186914 229574 245557 264446 373828 459148 491114 528892 747656 803509 918296 982228 1057784 1492231 1607018 1718899 1964456 2984462 3214036 3437798 5968924 6428072 6875596 10445617 11937848 13751192 19399003 20891234 38798006 41782468 77596012 83564936 135793021 155192024 271586042 543172084 1086344168