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34860352128 = 273731418351
BaseRepresentation
bin100000011101110101…
…101100001010000000
310022222110220101001220
4200131311230022000
51032343222232003
624003054155040
72342605050450
oct403565541200
9108873811056
1034860352128
111386983a578
12690a7b2a80
13339730a9c4
141989b57d60
15d90698353
hex81dd6c280

34860352128 has 128 divisors (see below), whose sum is σ = 109240074240. Its totient is φ = 9638784000.

The previous prime is 34860352069. The next prime is 34860352171. The reversal of 34860352128 is 82125306843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 34860352128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125848 + ... + 292503.

It is an arithmetic number, because the mean of its divisors is an integer number (853438080).

Almost surely, 234860352128 is an apocalyptic number.

It is an amenable number.

34860352128 is an abundant number, since it is smaller than the sum of its proper divisors (74379722112).

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

34860352128 is a wasteful number, since it uses less digits than its factorization.

34860352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418406 (or 418394 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 34860352128 in words is "thirty-four billion, eight hundred sixty million, three hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 418351 836702 1255053 1673404 2510106 2928457 3346808 5020212 5856914 6693616 8785371 10040424 11713828 12968881 13387232 17570742 20080848 23427656 25937762 26774464 35141484 38906643 40161696 46855312 51875524 53548928 70282968 77813286 80323392 90782167 93710624 103751048 140565936 155626572 160646784 181564334 187421248 207502096 272346501 281131872 311253144 363128668 374842496 415004192 544693002 562263744 622506288 726257336 830008384 1089386004 1124527488 1245012576 1452514672 1660016768 2178772008 2490025152 2905029344 4357544016 4980050304 5810058688 8715088032 11620117376 17430176064 34860352128