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3395129661 = 35711421431
BaseRepresentation
bin1100101001011101…
…1001000100111101
322202121112110100000
43022113121010331
523423123122121
61320521224513
7150064061130
oct31227310475
98677473300
103395129661
11149250a190
127a9032139
1342150c081
14242ca0217
1514d0e4526
hexca5d913d

3395129661 has 96 divisors (see below), whose sum is σ = 6370430976. Its totient is φ = 1755432000.

The previous prime is 3395129651. The next prime is 3395129669. The reversal of 3395129661 is 1669215933.

It is not a de Polignac number, because 3395129661 - 210 = 3395128637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395129669) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7877116 + ... + 7877546.

It is an arithmetic number, because the mean of its divisors is an integer number (66358656).

Almost surely, 23395129661 is an apocalyptic number.

It is an amenable number.

3395129661 is a deficient number, since it is larger than the sum of its proper divisors (2975301315).

3395129661 is a wasteful number, since it uses less digits than its factorization.

3395129661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 3395129661 is about 58267.7411695357. The cubic root of 3395129661 is about 1502.9762626679.

The spelling of 3395129661 in words is "three billion, three hundred ninety-five million, one hundred twenty-nine thousand, six hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 421 431 567 693 891 1263 1293 1701 2079 2673 2947 3017 3789 3879 4631 4741 6237 8841 9051 11367 11637 13893 14223 18711 26523 27153 32417 33187 34101 34911 41679 42669 79569 81459 97251 99561 102303 104733 125037 128007 181451 238707 244377 291753 298683 375111 384021 544353 716121 733131 875259 896049 1125333 1152063 1270157 1633059 1995961 2625777 2688147 3810471 4899177 5987883 7877331 8064441 11431413 13971727 14697531 17963649 34294239 41915181 44092593 53890947 102882717 125745543 161672841 308648151 377236629 485018523 1131709887 3395129661