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34822841 is a prime number
BaseRepresentation
bin1000010011010…
…1101010111001
32102112011221212
42010311222321
532403312331
63242212505
7601663214
oct204655271
972464855
1034822841
1118724a09
12b7b4135
1372a3241
1448a677b
1530ccd2b
hex2135ab9

34822841 has 2 divisors, whose sum is σ = 34822842. Its totient is φ = 34822840.

The previous prime is 34822793. The next prime is 34822847. The reversal of 34822841 is 14822843.

34822841 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., 34762816 + 60025 = 5896^2 + 245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34822841 is a prime.

It is a super-2 number, since 2×348228412 = 2425260510622562, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34822798 and 34822807.

It is not a weakly prime, because it can be changed into another prime (34822847) 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, 17411420 + 17411421.

It is an arithmetic number, because the mean of its divisors is an integer number (17411421).

Almost surely, 234822841 is an apocalyptic number.

It is an amenable number.

34822841 is a deficient number, since it is larger than the sum of its proper divisors (1).

34822841 is an equidigital number, since it uses as much as digits as its factorization.

34822841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12288, while the sum is 32.

The square root of 34822841 is about 5901.0881199996. The cubic root of 34822841 is about 326.5537935501.

The spelling of 34822841 in words is "thirty-four million, eight hundred twenty-two thousand, eight hundred forty-one".