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434005585 = 51310166109
BaseRepresentation
bin11001110111100…
…110011001010001
31010020122202201221
4121313212121101
51342101134320
6111022125041
713516662256
oct3167463121
91106582657
10434005585
11202a91902
12101420781
136bbb9850
14418d742d
152817e3aa
hex19de6651

434005585 has 16 divisors (see below), whose sum is σ = 566430480. Its totient is φ = 317318400.

The previous prime is 434005531. The next prime is 434005591. The reversal of 434005585 is 585500434.

It can be written as a sum of positive squares in 8 ways, for example, as 5349969 + 428655616 = 2313^2 + 20704^2 .

It is not a de Polignac number, because 434005585 - 27 = 434005457 is a prime.

It is a super-2 number, since 2×4340055852 = 376721695622384450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434005585.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26490 + ... + 39619.

It is an arithmetic number, because the mean of its divisors is an integer number (35401905).

Almost surely, 2434005585 is an apocalyptic number.

It is an amenable number.

434005585 is a deficient number, since it is larger than the sum of its proper divisors (132424895).

434005585 is a wasteful number, since it uses less digits than its factorization.

434005585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66228.

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 434005585 is about 20832.8006998579. The cubic root of 434005585 is about 757.1206755016.

The spelling of 434005585 in words is "four hundred thirty-four million, five thousand, five hundred eighty-five".

Divisors: 1 5 13 65 101 505 1313 6565 66109 330545 859417 4297085 6677009 33385045 86801117 434005585