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34031245160 = 2351128877927
BaseRepresentation
bin11111101100011010…
…111001011101101000
310020211200210101010102
4133230122321131220
51024143444321120
623344515404532
72313216545123
oct375432713550
9106750711112
1034031245160
1113483829200
126718bb3748
133294606473
14190b9b33ba
15d429c1d75
hex7ec6b9768

34031245160 has 96 divisors (see below), whose sum is σ = 84269566080. Its totient is φ = 12359487360.

The previous prime is 34031245159. The next prime is 34031245207. The reversal of 34031245160 is 6154213043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4289117 + ... + 4297043.

It is an arithmetic number, because the mean of its divisors is an integer number (877807980).

Almost surely, 234031245160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34031245160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42134783040).

34031245160 is an abundant number, since it is smaller than the sum of its proper divisors (50238320920).

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

34031245160 is a wasteful number, since it uses less digits than its factorization.

34031245160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 34031245160 in words is "thirty-four billion, thirty-one million, two hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 887 968 1210 1774 2420 3548 4435 4840 7096 7927 8870 9757 15854 17740 19514 31708 35480 39028 39635 48785 63416 78056 79270 87197 97570 107327 158540 174394 195140 214654 317080 348788 390280 429308 435985 536635 697576 858616 871970 959167 1073270 1743940 1918334 2146540 3487880 3836668 4293080 4795835 7031249 7673336 9591670 14062498 19183340 28124996 35156245 38366680 56249992 70312490 77343739 140624980 154687478 281249960 309374956 386718695 618749912 773437390 850781129 1546874780 1701562258 3093749560 3403124516 4253905645 6806249032 8507811290 17015622580 34031245160