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34300514540240 = 24513193746915027
BaseRepresentation
bin1111100110010001101011…
…11111000001101011010000
311111110002121211111211200022
413303020311333001223100
513443434423210241430
6200541234442443012
710140062504011214
oct763106577015320
9144402554454608
1034300514540240
11aa24848277693
123a1b804b03468
13161a6a883c960
14868221cca944
153e737d6ce4e5
hex1f3235fc1ad0

34300514540240 has 160 divisors (see below), whose sum is σ = 92846717013120. Its totient is φ = 11673959749632.

The previous prime is 34300514540213. The next prime is 34300514540261. The reversal of 34300514540240 is 4204541500343.

It is a self number, because there is not a number n which added to its sum of digits gives 34300514540240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22726394 + ... + 24188633.

It is an arithmetic number, because the mean of its divisors is an integer number (580291981332).

Almost surely, 234300514540240 is an apocalyptic number.

It is an amenable number.

34300514540240 is an abundant number, since it is smaller than the sum of its proper divisors (58546202472880).

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

34300514540240 is a wasteful number, since it uses less digits than its factorization.

34300514540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46915109 (or 46915103 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 34300514540240 in words is "thirty-four trillion, three hundred billion, five hundred fourteen million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 37 38 40 52 65 74 76 80 95 104 130 148 152 185 190 208 247 260 296 304 370 380 481 494 520 592 703 740 760 962 988 1040 1235 1406 1480 1520 1924 1976 2405 2470 2812 2960 3515 3848 3952 4810 4940 5624 7030 7696 9139 9620 9880 11248 14060 18278 19240 19760 28120 36556 38480 45695 56240 73112 91390 146224 182780 365560 731120 46915027 93830054 187660108 234575135 375320216 469150270 609895351 750640432 891385513 938300540 1219790702 1735855999 1782771026 1876601080 2439581404 3049476755 3471711998 3565542052 3753202160 4456927565 4879162808 6098953510 6943423996 7131084104 8679279995 8913855130 9758325616 11588011669 12197907020 13886847992 14262168208 17358559990 17827710260 22566127987 23176023338 24395814040 27773695984 32981263981 34717119980 35655420520 45132255974 46352046676 48791628080 57940058345 65962527962 69434239960 71310841040 90264511948 92704093352 112830639935 115880116690 131925055924 138868479920 164906319905 180529023896 185408186704 225661279870 231760233380 263850111848 329812639810 361058047792 428756431753 451322559740 463520466760 527700223696 659625279620 857512863506 902645119480 927040933520 1319250559240 1715025727012 1805290238960 2143782158765 2638501118480 3430051454024 4287564317530 6860102908048 8575128635060 17150257270120 34300514540240