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3406276395 = 34519599739
BaseRepresentation
bin1100101100000111…
…1010011100101011
322210101111202210000
43023001322130223
523434001321040
61322000154043
7150260604654
oct31301723453
98711452700
103406276395
111498832965
127b0908923
13423912882
1424456252b
1514e097130
hexcb07a72b

3406276395 has 80 divisors (see below), whose sum is σ = 6446880000. Its totient is φ = 1715867712.

The previous prime is 3406276387. The next prime is 3406276411. The reversal of 3406276395 is 5936726043.

3406276395 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 2 + 7 + 639 + 5 = 666.

It is not a de Polignac number, because 3406276395 - 23 = 3406276387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3406276395.

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 79 ways as a sum of consecutive naturals, for example, 4608936 + ... + 4609674.

It is an arithmetic number, because the mean of its divisors is an integer number (80586000).

Almost surely, 23406276395 is an apocalyptic number.

3406276395 is a deficient number, since it is larger than the sum of its proper divisors (3040603605).

3406276395 is a wasteful number, since it uses less digits than its factorization.

3406276395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3406276395 is about 58363.3137767211. The cubic root of 3406276395 is about 1504.6193001086.

The spelling of 3406276395 in words is "three billion, four hundred six million, two hundred seventy-six thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 599 739 855 1539 1797 2217 2565 2995 3695 5391 6651 7695 8985 11085 11381 14041 16173 19953 26955 33255 34143 42123 48519 56905 59859 70205 80865 99765 102429 126369 170715 210615 242595 299295 307287 379107 442661 512145 631845 921861 1137321 1327983 1536435 1895535 2213305 3983949 4609305 5686605 6639915 8410559 11951847 19919745 25231677 35855541 42052795 59759235 75695031 126158385 179277705 227085093 378475155 681255279 1135425465 3406276395