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34422124680 = 2332595617013
BaseRepresentation
bin100000000011101101…
…111111000010001000
310021211221022010000200
4200003231333002020
51030444030442210
623451401332200
72326004142426
oct400355770210
9107757263020
1034422124680
1113664434829
126807a97060
1333275a3618
141947882116
15d66e830c0
hex803b7f088

34422124680 has 48 divisors (see below), whose sum is σ = 111871906380. Its totient is φ = 9179233152.

The previous prime is 34422124673. The next prime is 34422124717. The reversal of 34422124680 is 8642122443.

34422124680 is a `hidden beast` number, since 34 + 422 + 124 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29588816196 + 4833308484 = 172014^2 + 69522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47808147 + ... + 47808866.

Almost surely, 234422124680 is an apocalyptic number.

34422124680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34422124680 is an abundant number, since it is smaller than the sum of its proper divisors (77449781700).

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

34422124680 is a wasteful number, since it uses less digits than its factorization.

34422124680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95617030 (or 95617023 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34422124680 in words is "thirty-four billion, four hundred twenty-two million, one hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 95617013 191234026 286851039 382468052 478085065 573702078 764936104 860553117 956170130 1147404156 1434255195 1721106234 1912340260 2294808312 2868510390 3442212468 3824680520 4302765585 5737020780 6884424936 8605531170 11474041560 17211062340 34422124680