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34102512304 = 2472396531951
BaseRepresentation
bin11111110000101010…
…110000101010110000
310021000122220010021021
4133300222300222300
51024320220343204
623355543105224
72315043400060
oct376052605260
9107018803237
1034102512304
111350aa85273
126738a42214
1332a62c9983
1419172453a0
15d48d9d154
hex7f0ab0ab0

34102512304 has 80 divisors (see below), whose sum is σ = 75983708160. Its totient is φ = 14524473600.

The previous prime is 34102512299. The next prime is 34102512317. The reversal of 34102512304 is 40321520143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17478529 + ... + 17480479.

It is an arithmetic number, because the mean of its divisors is an integer number (949796352).

Almost surely, 234102512304 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 34102512304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37991854080).

34102512304 is an abundant number, since it is smaller than the sum of its proper divisors (41881195856).

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

34102512304 is a wasteful number, since it uses less digits than its factorization.

34102512304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 34102512304 in words is "thirty-four billion, one hundred two million, five hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 653 956 1306 1673 1912 1951 2612 3346 3824 3902 4571 5224 6692 7804 9142 10448 13384 13657 15608 18284 26768 27314 31216 36568 54628 73136 109256 156067 218512 312134 466289 624268 932578 1092469 1248536 1274003 1865156 2184938 2497072 2548006 3264023 3730312 4369876 5096012 6528046 7460624 8739752 8918021 10192024 13056092 17479504 17836042 20384048 26112184 35672084 52224368 71344168 142688336 304486717 608973434 1217946868 2131407019 2435893736 4262814038 4871787472 8525628076 17051256152 34102512304