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34460472750 = 23531122718401
BaseRepresentation
bin100000000110000000…
…010001010110101110
310021221121110101200120
4200012000101112232
51031033340112000
623455251305410
72326651120404
oct400600212656
9107847411616
1034460472750
1113684047250
1268188ab266
13333250c2a2
14194c9c5474
15d6a50a6a0
hex8060115ae

34460472750 has 128 divisors (see below), whose sum is σ = 94251216384. Its totient is φ = 8316800000.

The previous prime is 34460472679. The next prime is 34460472793. The reversal of 34460472750 is 5727406443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1863550 + ... + 1881950.

It is an arithmetic number, because the mean of its divisors is an integer number (736337628).

Almost surely, 234460472750 is an apocalyptic number.

34460472750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34460472750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47125608192).

34460472750 is an abundant number, since it is smaller than the sum of its proper divisors (59790743634).

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

34460472750 is a wasteful number, since it uses less digits than its factorization.

34460472750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18659 (or 18649 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 34460472750 in words is "thirty-four billion, four hundred sixty million, four hundred seventy-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 227 250 275 330 375 454 550 681 750 825 1135 1362 1375 1650 2270 2497 2750 3405 4125 4994 5675 6810 7491 8250 11350 12485 14982 17025 18401 24970 28375 34050 36802 37455 55203 56750 62425 74910 85125 92005 110406 124850 170250 184010 187275 202411 276015 312125 374550 404822 460025 552030 607233 624250 920050 936375 1012055 1214466 1380075 1872750 2024110 2300125 2760150 3036165 4177027 4600250 5060275 6072330 6900375 8354054 10120550 12531081 13800750 15180825 20885135 25062162 25301375 30361650 41770270 45947297 50602750 62655405 75904125 91894594 104425675 125310810 137841891 151808250 208851350 229736485 275683782 313277025 459472970 522128375 626554050 689209455 1044256750 1148682425 1378418910 1566385125 2297364850 3132770250 3446047275 5743412125 6892094550 11486824250 17230236375 34460472750