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34300349 is a prime number
BaseRepresentation
bin1000001011011…
…0000110111101
32101112122020022
42002312012331
532240102344
63223101525
7564356006
oct202660675
971478208
1034300349
11183a83a6
12b5a18a5
13714c485
1447ac1ad
1530280ee
hex20b61bd

34300349 has 2 divisors, whose sum is σ = 34300350. Its totient is φ = 34300348.

The previous prime is 34300327. The next prime is 34300363. The reversal of 34300349 is 94300343.

34300349 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., 29539225 + 4761124 = 5435^2 + 2182^2 .

It is a cyclic number.

It is not a de Polignac number, because 34300349 - 212 = 34296253 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34300309) 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, 17150174 + 17150175.

It is an arithmetic number, because the mean of its divisors is an integer number (17150175).

Almost surely, 234300349 is an apocalyptic number.

It is an amenable number.

34300349 is a deficient number, since it is larger than the sum of its proper divisors (1).

34300349 is an equidigital number, since it uses as much as digits as its factorization.

34300349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 34300349 is about 5856.6499810045. The cubic root of 34300349 is about 324.9123203318.

The spelling of 34300349 in words is "thirty-four million, three hundred thousand, three hundred forty-nine".