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34585221 = 3112114967
BaseRepresentation
bin1000001111101…
…1101010000101
32102002010000010
42003323222011
532323211341
63233140433
7566653356
oct203735205
972063003
1034585221
1118582430
12b6ba719
13721c038
144843d2d
153082716
hex20fba85

34585221 has 16 divisors (see below), whose sum is σ = 50554368. Its totient is φ = 20857200.

The previous prime is 34585219. The next prime is 34585247. The reversal of 34585221 is 12258543.

34585221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34585221 - 21 = 34585219 is a prime.

It is a super-2 number, since 2×345852212 = 2392275023237682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34585211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4480 + ... + 9446.

It is an arithmetic number, because the mean of its divisors is an integer number (3159648).

Almost surely, 234585221 is an apocalyptic number.

It is an amenable number.

34585221 is a deficient number, since it is larger than the sum of its proper divisors (15969147).

34585221 is a wasteful number, since it uses less digits than its factorization.

34585221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192.

The product of its digits is 9600, while the sum is 30.

The square root of 34585221 is about 5880.9200810757. The cubic root of 34585221 is about 325.8093312135.

The spelling of 34585221 in words is "thirty-four million, five hundred eighty-five thousand, two hundred twenty-one".

Divisors: 1 3 11 33 211 633 2321 4967 6963 14901 54637 163911 1048037 3144111 11528407 34585221