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3401349705 = 3351359107307
BaseRepresentation
bin1100101010111100…
…0111101001001001
322210001020110122000
43022233013221021
523431221142310
61321302421213
7150200665305
oct31257075111
98701213560
103401349705
111495a78416
127ab131809
134228a9280
14243a3cd05
1514d9224c0
hexcabc7a49

3401349705 has 128 divisors (see below), whose sum is σ = 6706022400. Its totient is φ = 1625432832.

The previous prime is 3401349697. The next prime is 3401349719. The reversal of 3401349705 is 5079431043.

It is not a de Polignac number, because 3401349705 - 23 = 3401349697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3401349705.

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 127 ways as a sum of consecutive naturals, for example, 11079162 + ... + 11079468.

It is an arithmetic number, because the mean of its divisors is an integer number (52390800).

Almost surely, 23401349705 is an apocalyptic number.

It is an amenable number.

3401349705 is a deficient number, since it is larger than the sum of its proper divisors (3304672695).

3401349705 is a wasteful number, since it uses less digits than its factorization.

3401349705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3401349705 is about 58321.0914249725. The cubic root of 3401349705 is about 1503.8935447949.

The spelling of 3401349705 in words is "three billion, four hundred one million, three hundred forty-nine thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 59 65 107 117 135 177 195 295 307 321 351 531 535 585 767 885 921 963 1391 1535 1593 1605 1755 2301 2655 2763 2889 3835 3991 4173 4605 4815 6313 6903 6955 7965 8289 11505 11973 12519 13815 14445 18113 18939 19955 20709 20865 31565 32849 34515 35919 37557 41445 54339 56817 59865 62595 82069 90565 94695 98547 103545 107757 163017 164245 170451 179595 187785 235469 246207 271695 284085 295641 410345 427037 489051 492735 538785 706407 738621 815085 852255 886923 1177345 1231035 1281111 1478205 1938091 2119221 2135185 2215863 2445255 3532035 3693105 3843333 4434615 5814273 6357663 6405555 9690455 10596105 11079315 11529999 17442819 19216665 25195183 29071365 31788315 52328457 57649995 75585549 87214095 125975915 226756647 261642285 377927745 680269941 1133783235 3401349705