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34105974690 = 23526915112797
BaseRepresentation
bin11111110000110111…
…111101111110100010
310021000220102000202210
4133300313331332202
51024322112142230
623400145222550
72315115000354
oct376067757642
9107026360683
1034105974690
1113511a2a647
12673a031a56
1332a6c3c918
1419178a70d4
15d49333eb0
hex7f0dfdfa2

34105974690 has 64 divisors (see below), whose sum is σ = 82242397440. Its totient is φ = 9051882240.

The previous prime is 34105974677. The next prime is 34105974703. The reversal of 34105974690 is 9647950143.

It is an interprime number because it is at equal distance from previous prime (34105974677) and next prime (34105974703).

It is a super-2 number, since 2×341059746902 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12192372 + ... + 12195168.

It is an arithmetic number, because the mean of its divisors is an integer number (1285037460).

Almost surely, 234105974690 is an apocalyptic number.

34105974690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34105974690 is an abundant number, since it is smaller than the sum of its proper divisors (48136422750).

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

34105974690 is a wasteful number, since it uses less digits than its factorization.

34105974690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587.

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 34105974690 in words is "thirty-four billion, one hundred five million, nine hundred seventy-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 269 538 807 1345 1511 1614 2690 2797 3022 4035 4533 5594 7555 8070 8391 9066 13985 15110 16782 22665 27970 41955 45330 83910 406459 752393 812918 1219377 1504786 2032295 2257179 2438754 3761965 4064590 4226267 4514358 6096885 7523930 8452534 11285895 12193770 12678801 21131335 22571790 25357602 42262670 63394005 126788010 1136865823 2273731646 3410597469 5684329115 6821194938 11368658230 17052987345 34105974690