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838000349 is a prime number
BaseRepresentation
bin110001111100101…
…101111011011101
32011101211211100222
4301330231323131
53204012002344
6215053131125
726523612464
oct6174557335
92141754328
10838000349
113a003607a
121b4789aa5
131047c94c4
147d41b9db
154d8815ee
hex31f2dedd

838000349 has 2 divisors, whose sum is σ = 838000350. Its totient is φ = 838000348.

The previous prime is 838000307. The next prime is 838000351. The reversal of 838000349 is 943000838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 573937849 + 264062500 = 23957^2 + 16250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-838000349 is a prime.

It is a Sophie Germain prime.

Together with 838000351, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838000549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419000174 + 419000175.

It is an arithmetic number, because the mean of its divisors is an integer number (419000175).

Almost surely, 2838000349 is an apocalyptic number.

It is an amenable number.

838000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

838000349 is an equidigital number, since it uses as much as digits as its factorization.

838000349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 838000349 is about 28948.2356802621. The cubic root of 838000349 is about 942.7894915243.

The spelling of 838000349 in words is "eight hundred thirty-eight million, three hundred forty-nine", and thus it is an aban number.