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34160763420 = 2234573012413
BaseRepresentation
bin11111110100001000…
…111110001000011100
310021011201111120210000
4133310020332020130
51024430123412140
623405423414300
72316351461310
oct376410761034
9107151446700
1034160763420
111353a951193
126754454390
1332b53b38a4
141920c89b40
15d4e057a30
hex7f423e21c

34160763420 has 120 divisors (see below), whose sum is σ = 122472703584. Its totient is φ = 7808171904.

The previous prime is 34160763419. The next prime is 34160763451. The reversal of 34160763420 is 2436706143.

It is a happy number.

34160763420 is a `hidden beast` number, since 3 + 4 + 1 + 607 + 6 + 3 + 42 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1494867 + ... + 1517546.

Almost surely, 234160763420 is an apocalyptic number.

34160763420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34160763420 is an abundant number, since it is smaller than the sum of its proper divisors (88311940164).

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

34160763420 is a wasteful number, since it uses less digits than its factorization.

34160763420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012441 (or 3012430 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34160763420 in words is "thirty-four billion, one hundred sixty million, seven hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 3012413 6024826 9037239 12049652 15062065 18074478 21086891 27111717 30124130 36148956 42173782 45186195 54223434 60248260 63260673 81335151 84347564 90372390 105434455 108446868 126521346 135558585 162670302 180744780 189782019 210868910 244005453 253042692 271117170 316303365 325340604 379564038 406675755 421737820 488010906 542234340 569346057 632606730 759128076 813351510 948910095 976021812 1138692114 1220027265 1265213460 1626703020 1708038171 1897820190 2277384228 2440054530 2846730285 3416076342 3795640380 4880109060 5693460570 6832152684 8540190855 11386921140 17080381710 34160763420