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34054049 is a prime number
BaseRepresentation
bin1000000111100…
…1111110100001
32101002010101002
42001321332201
532204212144
63213521345
7562311641
oct201717641
971063332
1034054049
111824a347
12b4a3255
137094333
144746521
152eca14e
hex2079fa1

34054049 has 2 divisors, whose sum is σ = 34054050. Its totient is φ = 34054048.

The previous prime is 34054039. The next prime is 34054051. The reversal of 34054049 is 94045043.

34054049 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., 22391824 + 11662225 = 4732^2 + 3415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34054049 is a prime.

Together with 34054051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34054039) 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, 17027024 + 17027025.

It is an arithmetic number, because the mean of its divisors is an integer number (17027025).

Almost surely, 234054049 is an apocalyptic number.

It is an amenable number.

34054049 is a deficient number, since it is larger than the sum of its proper divisors (1).

34054049 is an equidigital number, since it uses as much as digits as its factorization.

34054049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34054049 is about 5835.5847179182. The cubic root of 34054049 is about 324.1327537328.

The spelling of 34054049 in words is "thirty-four million, fifty-four thousand, forty-nine".