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2085345 = 34519271
BaseRepresentation
bin111111101000111100001
310220221120000
413331013201
51013212340
6112410213
723503503
oct7750741
93827500
102085345
1111a4829
12846969
13580242
143c3d73
152b2d30
hex1fd1e1

2085345 has 40 divisors (see below), whose sum is σ = 3949440. Its totient is φ = 1049760.

The previous prime is 2085331. The next prime is 2085353. The reversal of 2085345 is 5435802.

It is not a de Polignac number, because 2085345 - 27 = 2085217 is a prime.

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

2085345 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7560 + ... + 7830.

It is an arithmetic number, because the mean of its divisors is an integer number (98736).

22085345 is an apocalyptic number.

It is an amenable number.

2085345 is a deficient number, since it is larger than the sum of its proper divisors (1864095).

2085345 is a wasteful number, since it uses less digits than its factorization.

2085345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2085345 is about 1444.0723666077. The cubic root of 2085345 is about 127.7593337518.

The spelling of 2085345 in words is "two million, eighty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 271 285 405 513 813 855 1355 1539 2439 2565 4065 5149 7317 7695 12195 15447 21951 25745 36585 46341 77235 109755 139023 231705 417069 695115 2085345