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34345606614 = 231119311735107
BaseRepresentation
bin11111111111001010…
…000101110111010110
310021122121022120222020
4133333022011313112
51030314433402424
623440025314010
72324054560614
oct377712056726
9107577276866
1034345606614
1113625221660
1267a6335906
133314792067
14193b6446b4
15d603bb079
hex7ff285dd6

34345606614 has 128 divisors (see below), whose sum is σ = 81911070720. Its totient is φ = 9484905600.

The previous prime is 34345606571. The next prime is 34345606619. The reversal of 34345606614 is 41660654343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345606619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6722649 + ... + 6727755.

It is an arithmetic number, because the mean of its divisors is an integer number (639930240).

Almost surely, 234345606614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345606614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40955535360).

34345606614 is an abundant number, since it is smaller than the sum of its proper divisors (47565464106).

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

34345606614 is a wasteful number, since it uses less digits than its factorization.

34345606614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34345606614 in words is "thirty-four billion, three hundred forty-five million, six hundred six thousand, six hundred fourteen".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 173 186 209 341 346 418 519 589 627 682 1023 1038 1178 1254 1767 1903 2046 3287 3534 3806 5107 5363 5709 6479 6574 9861 10214 10726 11418 12958 15321 16089 19437 19722 30642 32178 36157 38874 56177 58993 72314 97033 101897 108471 112354 117986 158317 168531 176979 194066 203794 216942 291099 305691 316634 337062 353958 474951 582198 611382 883511 949902 1067363 1120867 1741487 1767022 2134726 2241734 2650533 3008023 3202089 3362601 3482974 5224461 5301066 6016046 6404178 6725202 9024069 9718621 10448922 16786709 18048138 19437242 27388841 29155863 33088253 33573418 50360127 54777682 58311726 66176506 82166523 99264759 100720254 164333046 184653799 198529518 301277251 369307598 520387979 553961397 602554502 903831753 1040775958 1107922794 1561163937 1807663506 3122327874 5724267769 11448535538 17172803307 34345606614