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34053643260 = 223257132078977
BaseRepresentation
bin11111101101110000…
…010101101111111100
310020220020221022112200
4133231300111233330
51024220213041020
623351035431500
72313611122530
oct375560255774
9106806838480
1034053643260
111349543722a
1267245b5590
133299149290
141910963bc0
15d44948590
hex7edc15bfc

34053643260 has 144 divisors (see below), whose sum is σ = 127133662656. Its totient is φ = 7184941056.

The previous prime is 34053643259. The next prime is 34053643277. The reversal of 34053643260 is 6234635043.

34053643260 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 3 + 643 + 2 + 6 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023109 + ... + 1055868.

Almost surely, 234053643260 is an apocalyptic number.

34053643260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34053643260 is an abundant number, since it is smaller than the sum of its proper divisors (93080019396).

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

34053643260 is a wasteful number, since it uses less digits than its factorization.

34053643260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079012 (or 2079007 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 34053643260 in words is "thirty-four billion, fifty-three million, six hundred forty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 2078977 4157954 6236931 8315908 10394885 12473862 14552839 18710793 20789770 24947724 27026701 29105678 31184655 37421586 41579540 43658517 54053402 58211356 62369310 72764195 74843172 81080103 87317034 93553965 108106804 124738620 130975551 135133505 145528390 162160206 174634068 187107930 189186907 218292585 243240309 261951102 270267010 291056780 324320412 374215860 378373814 405400515 436585170 486480618 523902204 540534020 567560721 654877755 756747628 810801030 873170340 945934535 972961236 1135121442 1216201545 1309755510 1621602060 1702682163 1891869070 2270242884 2432403090 2619511020 2837803605 3405364326 3783738140 4864806180 5675607210 6810728652 8513410815 11351214420 17026821630 34053643260