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3385427175 = 32521317103661
BaseRepresentation
bin1100100111001001…
…1000010011100111
322201221021112000200
43021302120103213
523413132132200
61315533241543
7146615441034
oct31162302347
98657245020
103385427175
111487a925a9
127a59332b3
1341c4c2a60
1424189638b
1514c329800
hexc9c984e7

3385427175 has 144 divisors (see below), whose sum is σ = 6991927488. Its totient is φ = 1551052800.

The previous prime is 3385427159. The next prime is 3385427191. The reversal of 3385427175 is 5717245833.

3385427175 is a `hidden beast` number, since 3 + 38 + 542 + 7 + 1 + 75 = 666.

3385427175 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3385427159) and next prime (3385427191).

It is not a de Polignac number, because 3385427175 - 24 = 3385427159 is a prime.

It is a super-2 number, since 2×33854271752 = 22922234314456961250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 3385427175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5121345 + ... + 5122005.

It is an arithmetic number, because the mean of its divisors is an integer number (48555052).

Almost surely, 23385427175 is an apocalyptic number.

3385427175 is an abundant number, since it is smaller than the sum of its proper divisors (3606500313).

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

3385427175 is a wasteful number, since it uses less digits than its factorization.

3385427175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 3385427175 is about 58184.4238177195. The cubic root of 3385427175 is about 1501.5431785223.

The spelling of 3385427175 in words is "three billion, three hundred eighty-five million, four hundred twenty-seven thousand, one hundred seventy-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 103 117 153 195 221 225 255 309 325 425 515 585 661 663 765 927 975 1105 1275 1339 1545 1751 1983 1989 2575 2925 3305 3315 3825 4017 4635 5253 5525 5949 6695 7725 8593 8755 9915 9945 11237 12051 15759 16525 16575 20085 22763 23175 25779 26265 29745 33475 33711 42965 43775 49575 49725 56185 60255 68083 68289 77337 78795 100425 101133 113815 128895 131325 146081 148725 168555 204249 204867 214825 280925 301275 340415 341445 386685 393975 438243 505665 569075 612747 644475 730405 842775 885079 1021245 1024335 1157411 1314729 1702075 1707225 1933425 2191215 2528325 2655237 3063735 3472233 3652025 4425395 5106225 5121675 5787055 6573645 7965711 10416699 10956075 13276185 15046343 15318675 17361165 22126975 28935275 32868225 39828555 45139029 52083495 66380925 75231715 86805825 135417087 199142775 225695145 260417475 376158575 677085435 1128475725 3385427175