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3385125 = 33531759
BaseRepresentation
bin1100111010011100100101
320100222112000
430322130211
51331311000
6200315513
740526112
oct14723445
96328460
103385125
111a02327
121172b99
13916a43
14641909
1546d000
hex33a725

3385125 has 64 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 1670400.

The previous prime is 3385111. The next prime is 3385127. The reversal of 3385125 is 5215833.

It is not a de Polignac number, because 3385125 - 211 = 3383077 is a prime.

It is a super-2 number, since 2×33851252 = 22918142531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (3600) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57346 + ... + 57404.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

Almost surely, 23385125 is an apocalyptic number.

It is an amenable number.

3385125 is a deficient number, since it is larger than the sum of its proper divisors (3354075).

3385125 is a wasteful number, since it uses less digits than its factorization.

3385125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3385125 is about 1839.8709193854. The cubic root of 3385125 is about 150.1498502495.

It can be divided in two parts, 33 and 85125, that added together give a palindrome (85158).

The spelling of 3385125 in words is "three million, three hundred eighty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 59 75 85 125 135 153 177 225 255 295 375 425 459 531 675 765 885 1003 1125 1275 1475 1593 2125 2295 2655 3009 3375 3825 4425 5015 6375 7375 7965 9027 11475 13275 15045 19125 22125 25075 27081 39825 45135 57375 66375 75225 125375 135405 199125 225675 376125 677025 1128375 3385125