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34205333 is a prime number
BaseRepresentation
bin1000001001111…
…0111010010101
32101100210220012
42002132322111
532224032313
63221050005
7563512001
oct202367225
971323805
1034205333
1118342a78
12b556905
137118156
144785701
153009da8
hex209ee95

34205333 has 2 divisors, whose sum is σ = 34205334. Its totient is φ = 34205332.

The previous prime is 34205273. The next prime is 34205351. The reversal of 34205333 is 33350243.

34205333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17247409 + 16957924 = 4153^2 + 4118^2 .

It is a cyclic number.

It is not a de Polignac number, because 34205333 - 222 = 30011029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34205299 and 34205308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34205363) 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, 17102666 + 17102667.

It is an arithmetic number, because the mean of its divisors is an integer number (17102667).

Almost surely, 234205333 is an apocalyptic number.

It is an amenable number.

34205333 is a deficient number, since it is larger than the sum of its proper divisors (1).

34205333 is an equidigital number, since it uses as much as digits as its factorization.

34205333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 23.

The square root of 34205333 is about 5848.5325509909. The cubic root of 34205333 is about 324.6120277681.

Adding to 34205333 its reverse (33350243), we get a palindrome (67555576).

The spelling of 34205333 in words is "thirty-four million, two hundred five thousand, three hundred thirty-three".