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34585409 is a prime number
BaseRepresentation
bin1000001111101…
…1101101000001
32102002010021002
42003323231001
532323213114
63233141345
7566654045
oct203735501
972063232
1034585409
1118582591
12b6ba855
13721c151
144844025
1530827de
hex20fbb41

34585409 has 2 divisors, whose sum is σ = 34585410. Its totient is φ = 34585408.

The previous prime is 34585403. The next prime is 34585423. The reversal of 34585409 is 90458543.

It is a happy number.

34585409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33097009 + 1488400 = 5753^2 + 1220^2 .

It is a cyclic number.

It is not a de Polignac number, because 34585409 - 24 = 34585393 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34585403) 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 as a sum of consecutive naturals, namely, 17292704 + 17292705.

It is an arithmetic number, because the mean of its divisors is an integer number (17292705).

Almost surely, 234585409 is an apocalyptic number.

It is an amenable number.

34585409 is a deficient number, since it is larger than the sum of its proper divisors (1).

34585409 is an equidigital number, since it uses as much as digits as its factorization.

34585409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 34585409 is about 5880.9360649475. The cubic root of 34585409 is about 325.8099215624.

The spelling of 34585409 in words is "thirty-four million, five hundred eighty-five thousand, four hundred nine".