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3332607705 = 35571392819
BaseRepresentation
bin1100011010100011…
…1000111011011001
322121020220000100000
43012220320323121
523311121421310
61310405203213
7145404461310
oct30650707331
98536800300
103332607705
111460196549
12790100509
1341158b22b
14238867277
151478944c0
hexc6a38ed9

3332607705 has 96 divisors (see below), whose sum is σ = 6897945600. Its totient is φ = 1511980992.

The previous prime is 3332607697. The next prime is 3332607713. The reversal of 3332607705 is 5077062333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3332607697) and next prime (3332607713).

It is not a de Polignac number, because 3332607705 - 23 = 3332607697 is a prime.

It is a super-2 number, since 2×33326077052 = 22212548230850734050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3332607705.

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 95 ways as a sum of consecutive naturals, for example, 1180786 + ... + 1183604.

It is an arithmetic number, because the mean of its divisors is an integer number (71853600).

Almost surely, 23332607705 is an apocalyptic number.

3332607705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3332607705 is an abundant number, since it is smaller than the sum of its proper divisors (3565337895).

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

3332607705 is a wasteful number, since it uses less digits than its factorization.

3332607705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The square root of 3332607705 is about 57728.7424512261. The cubic root of 3332607705 is about 1493.6931798441.

The spelling of 3332607705 in words is "three billion, three hundred thirty-two million, six hundred seven thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 139 189 243 315 405 417 567 695 945 973 1215 1251 1701 2085 2819 2835 2919 3753 4865 6255 8457 8505 8757 11259 14095 14595 18765 19733 25371 26271 33777 42285 43785 56295 59199 76113 78813 98665 126855 131355 168885 177597 228339 236439 295995 380565 391841 394065 532791 685017 887985 1141695 1175523 1182195 1598373 1959205 2663955 2742887 3425085 3526569 4795119 5877615 7991865 8228661 10579707 13714435 17632845 23975595 24685983 31739121 41143305 52898535 74057949 95217363 123429915 158695605 222173847 370289745 476086815 666521541 1110869235 3332607705