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34240878320 = 24511239831721
BaseRepresentation
bin11111111000111010…
…100101011011110000
310021101022020211202112
4133320322211123300
51030111131101240
623421404504452
72321343443405
oct377072453360
9107338224675
1034240878320
11135810a0750
12677724b128
1332c8b8435c
14192b7822ac
15d560d0665
hex7f8ea56f0

34240878320 has 160 divisors (see below), whose sum is σ = 90768190464. Its totient is φ = 11890841600.

The previous prime is 34240878299. The next prime is 34240878323. The reversal of 34240878320 is 2387804243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240878323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19895060 + ... + 19896780.

Almost surely, 234240878320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45384095232).

34240878320 is an abundant number, since it is smaller than the sum of its proper divisors (56527312144).

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

34240878320 is a wasteful number, since it uses less digits than its factorization.

34240878320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 34240878320 in words is "thirty-four billion, two hundred forty million, eight hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 983 1012 1265 1721 1840 1966 2024 2530 3442 3932 4048 4915 5060 6884 7864 8605 9830 10120 10813 13768 15728 17210 18931 19660 20240 21626 22609 27536 34420 37862 39320 39583 43252 45218 54065 68840 75724 78640 79166 86504 90436 94655 108130 113045 137680 151448 158332 173008 180872 189310 197915 216260 226090 248699 302896 316664 361744 378620 395830 432520 435413 452180 497398 633328 757240 791660 865040 870826 904360 994796 1243495 1514480 1583320 1691743 1741652 1808720 1989592 2177065 2486990 3166640 3383486 3483304 3979184 4354130 4973980 6766972 6966608 8458715 8708260 9947960 13533944 16917430 17416520 18609173 19895920 27067888 33834860 34833040 37218346 38910089 67669720 74436692 77820178 93045865 135339440 148873384 155640356 186091730 194550445 297746768 311280712 372183460 389100890 428010979 622561424 744366920 778201780 856021958 1488733840 1556403560 1712043916 2140054895 3112807120 3424087832 4280109790 6848175664 8560219580 17120439160 34240878320