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345942585 = 32518142473
BaseRepresentation
bin10100100111101…
…010101000111001
3220002221201000100
4110213222220321
51202030130320
654154430013
711400314652
oct2447525071
9802851010
10345942585
1116830386a
1297a32309
1356895471
1433d32529
1520586790
hex149eaa39

345942585 has 24 divisors (see below), whose sum is σ = 602960904. Its totient is φ = 183479040.

The previous prime is 345942551. The next prime is 345942587. The reversal of 345942585 is 585249543.

345942585 is a `hidden beast` number, since 3 + 4 + 594 + 2 + 58 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13682601 + 332259984 = 3699^2 + 18228^2 .

It is not a de Polignac number, because 345942585 - 214 = 345926201 is a prime.

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 345942585.

It is not an unprimeable number, because it can be changed into a prime (345942587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13092 + ... + 29381.

It is an arithmetic number, because the mean of its divisors is an integer number (25123371).

Almost surely, 2345942585 is an apocalyptic number.

It is an amenable number.

345942585 is a deficient number, since it is larger than the sum of its proper divisors (257018319).

345942585 is a wasteful number, since it uses less digits than its factorization.

345942585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42665 (or 42662 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 345942585 is about 18599.5318489472. The cubic root of 345942585 is about 701.9960612923.

The spelling of 345942585 in words is "three hundred forty-five million, nine hundred forty-two thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 181 543 905 1629 2715 8145 42473 127419 212365 382257 637095 1911285 7687613 23062839 38438065 69188517 115314195 345942585