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34037298064 = 24721125992
BaseRepresentation
bin11111101100110001…
…111111001110010000
310020212010011220011001
4133230301333032100
51024202022014224
623345253231344
72313322155100
oct375461771620
9106763156131
1034037298064
1113487192900
12671b032554
133295945573
14190c70b200
15d432ba544
hex7ecc7f390

34037298064 has 135 divisors (see below), whose sum is σ = 84463188411. Its totient is φ = 13239145920.

The previous prime is 34037298019. The next prime is 34037298083. The reversal of 34037298064 is 46089273043.

The square root of 34037298064 is 184492.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56823237 + ... + 56823835.

Almost surely, 234037298064 is an apocalyptic number.

34037298064 is the 184492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34037298064

34037298064 is an abundant number, since it is smaller than the sum of its proper divisors (50425890347).

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

34037298064 is an equidigital number, since it uses as much as digits as its factorization.

34037298064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 34037298064 in words is "thirty-four billion, thirty-seven million, two hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 599 616 784 847 968 1078 1198 1232 1694 1936 2156 2396 3388 4193 4312 4792 5929 6589 6776 8386 8624 9584 11858 13178 13552 16772 23716 26356 29351 33544 46123 47432 52712 58702 67088 72479 92246 94864 105424 117404 144958 184492 234808 289916 322861 358801 368984 469616 507353 579832 645722 717602 737968 1014706 1159664 1291444 1435204 2029412 2511607 2582888 2870408 3551471 3946811 4058824 5023214 5165776 5740816 7102942 7893622 8117648 10046428 14205884 15787244 17581249 20092856 27627677 28411768 31574488 35162498 40185712 43414921 55255354 56823536 63148976 70324996 86829842 110510708 140649992 173659684 193393739 221021416 281299984 303904447 347319368 386787478 442042832 607808894 694638736 773574956 1215617788 1547149912 2127331129 2431235576 3094299824 4254662258 4862471152 8509324516 17018649032 34037298064