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34291338048 = 2632112492013
BaseRepresentation
bin11111111011111011…
…000100101101000000
310021111211012110111100
4133323323010231000
51030212040304143
623430410214400
72322525364332
oct377373045500
9107454173440
1034291338048
11135a7625900
126790124400
133306470a96
141934359452
15d5a74b6d3
hex7fbec4b40

34291338048 has 126 divisors (see below), whose sum is σ = 108037910162. Its totient is φ = 10391293440.

The previous prime is 34291338031. The next prime is 34291338083. The reversal of 34291338048 is 84083319243.

It can be written as a sum of positive squares in only one way, i.e., 30175858944 + 4115479104 = 173712^2 + 64152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34291337994 and 34291338012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 176311 + ... + 315702.

Almost surely, 234291338048 is an apocalyptic number.

It is an amenable number.

34291338048 is an abundant number, since it is smaller than the sum of its proper divisors (73746572114).

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

34291338048 is a wasteful number, since it uses less digits than its factorization.

34291338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492053 (or 492029 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34291338048 in words is "thirty-four billion, two hundred ninety-one million, three hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 492013 984026 1476039 1968052 2952078 3936104 4428117 5412143 5904156 7872208 8856234 10824286 11808312 15744416 16236429 17712468 21648572 23616624 31488832 32472858 35424936 43297144 47233248 48709287 59533573 64945716 70849872 86594288 94466496 97418574 119067146 129891432 141699744 173188576 178600719 194837148 238134292 259782864 283399488 346377152 357201438 389674296 476268584 519565728 535802157 714402876 779348592 952537168 1039131456 1071604314 1428805752 1558697184 1905074336 2143208628 2857611504 3117394368 3810148672 4286417256 5715223008 8572834512 11430446016 17145669024 34291338048