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34439170640 = 2457103597073
BaseRepresentation
bin100000000100101111…
…000000101001010000
310021220010101010200112
4200010233000221100
51031012411430030
623453210540452
72326302056210
oct400457005120
9107803333615
1034439170640
11136730176a6
126811737728
13332ac912a4
141949c3c240
15d686eda95
hex804bc0a50

34439170640 has 80 divisors (see below), whose sum is σ = 92398395648. Its totient is φ = 11693058048.

The previous prime is 34439170609. The next prime is 34439170679. The reversal of 34439170640 is 4607193443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240857 + ... + 356216.

Almost surely, 234439170640 is an apocalyptic number.

It is an amenable number.

34439170640 is an abundant number, since it is smaller than the sum of its proper divisors (57959225008).

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

34439170640 is a wasteful number, since it uses less digits than its factorization.

34439170640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597196 (or 597190 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 34439170640 in words is "thirty-four billion, four hundred thirty-nine million, one hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 412 515 560 721 824 1030 1442 1648 2060 2884 3605 4120 5768 7210 8240 11536 14420 28840 57680 597073 1194146 2388292 2985365 4179511 4776584 5970730 8359022 9553168 11941460 16718044 20897555 23882920 33436088 41795110 47765840 61498519 66872176 83590220 122997038 167180440 245994076 307492595 334360880 430489633 491988152 614985190 860979266 983976304 1229970380 1721958532 2152448165 2459940760 3443917064 4304896330 4919881520 6887834128 8609792660 17219585320 34439170640