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3106838880 = 253252157527
BaseRepresentation
bin1011100100101110…
…1001100101100000
322000112001202201200
42321023221211200
522330322321010
61232142201200
7136663460205
oct27113514540
98015052650
103106838880
111354803042
12728583200
133a6880b02
14216897cac
15132b49cc0
hexb92e9960

3106838880 has 72 divisors (see below), whose sum is σ = 10602092592. Its totient is φ = 828489984.

The previous prime is 3106838869. The next prime is 3106838909. The reversal of 3106838880 is 888386013.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1077324 + ... + 1080203.

It is an arithmetic number, because the mean of its divisors is an integer number (147251286).

Almost surely, 23106838880 is an apocalyptic number.

3106838880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3106838880 is an abundant number, since it is smaller than the sum of its proper divisors (7495253712).

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

3106838880 is a wasteful number, since it uses less digits than its factorization.

3106838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157548 (or 2157537 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3106838880 is about 55739.0247492724. The cubic root of 3106838880 is about 1459.1711815494.

The spelling of 3106838880 in words is "three billion, one hundred six million, eight hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2157527 4315054 6472581 8630108 10787635 12945162 17260216 19417743 21575270 25890324 32362905 34520432 38835486 43150540 51780648 64725810 69040864 77670972 86301080 97088715 103561296 129451620 155341944 172602160 194177430 207122592 258903240 310683888 345204320 388354860 517806480 621367776 776709720 1035612960 1553419440 3106838880