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3385350660 = 2235317923039
BaseRepresentation
bin1100100111001000…
…0101101000000100
322201221010122001210
43021302011220010
523413122210120
61315531451420
7146615001666
oct31162055004
98657118053
103385350660
111487a4006a
127a58b6b70
1341c496c93
14241876536
1514c311ce0
hexc9c85a04

3385350660 has 96 divisors (see below), whose sum is σ = 9909043200. Its totient is φ = 862542720.

The previous prime is 3385350643. The next prime is 3385350677. The reversal of 3385350660 is 660535833.

It is an interprime number because it is at equal distance from previous prime (3385350643) and next prime (3385350677).

It is a super-2 number, since 2×33853506602 = 22921198182324871200, which 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, 135421 + ... + 158459.

It is an arithmetic number, because the mean of its divisors is an integer number (103219200).

Almost surely, 23385350660 is an apocalyptic number.

3385350660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385350660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954521600).

3385350660 is an abundant number, since it is smaller than the sum of its proper divisors (6523692540).

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

3385350660 is a wasteful number, since it uses less digits than its factorization.

3385350660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23161 (or 23159 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 3385350660 is about 58183.7662926696. The cubic root of 3385350660 is about 1501.5318661693.

The spelling of 3385350660 in words is "three billion, three hundred eighty-five million, three hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 237 310 316 372 395 465 474 620 790 930 948 1185 1580 1860 2370 2449 4740 4898 7347 9796 12245 14694 23039 24490 29388 36735 46078 48980 69117 73470 92156 115195 138234 146940 230390 276468 345585 460780 691170 714209 1382340 1428418 1820081 2142627 2856836 3571045 3640162 4285254 5460243 7142090 7280324 8570508 9100405 10713135 10920486 14284180 18200810 21426270 21840972 27301215 36401620 42852540 54602430 56422511 109204860 112845022 169267533 225690044 282112555 338535066 564225110 677070132 846337665 1128450220 1692675330 3385350660