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34312049 is a prime number
BaseRepresentation
bin1000001011100…
…0111101110001
32101120020021122
42002320331301
532240441144
63223232025
7564435062
oct202707561
971506248
1034312049
1118406172
12b5a8615
1371548b5
1447b2569
15302b7ee
hex20b8f71

34312049 has 2 divisors, whose sum is σ = 34312050. Its totient is φ = 34312048.

The previous prime is 34312027. The next prime is 34312051. The reversal of 34312049 is 94021343.

34312049 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., 32001649 + 2310400 = 5657^2 + 1520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34312049 is a prime.

It is a Sophie Germain prime.

Together with 34312051, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34312349) 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, 17156024 + 17156025.

It is an arithmetic number, because the mean of its divisors is an integer number (17156025).

Almost surely, 234312049 is an apocalyptic number.

It is an amenable number.

34312049 is a deficient number, since it is larger than the sum of its proper divisors (1).

34312049 is an equidigital number, since it uses as much as digits as its factorization.

34312049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34312049 is about 5857.6487603816. The cubic root of 34312049 is about 324.9492591396.

The spelling of 34312049 in words is "thirty-four million, three hundred twelve thousand, forty-nine".