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9834190349 is a prime number
BaseRepresentation
bin10010010100010100…
…11101011000001101
3221101100202122001012
421022022131120031
5130120023042344
64303500455005
7465462144614
oct111212353015
927340678035
109834190349
114197164845
121aa554a465
13c09544559
1469412087b
153c855929e
hex24a29d60d

9834190349 has 2 divisors, whose sum is σ = 9834190350. Its totient is φ = 9834190348.

The previous prime is 9834190309. The next prime is 9834190351. The reversal of 9834190349 is 9430914389.

9834190349 is digitally balanced in base 3, 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., 9672722500 + 161467849 = 98350^2 + 12707^2 .

It is a cyclic number.

It is not a de Polignac number, because 9834190349 - 216 = 9834124813 is a prime.

It is a super-2 number, since 2×98341903492 (a number of 21 digits) contains 22 as substring.

Together with 9834190351, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 9834190297 and 9834190306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9834190309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4917095174 + 4917095175.

It is an arithmetic number, because the mean of its divisors is an integer number (4917095175).

Almost surely, 29834190349 is an apocalyptic number.

It is an amenable number.

9834190349 is a deficient number, since it is larger than the sum of its proper divisors (1).

9834190349 is an equidigital number, since it uses as much as digits as its factorization.

9834190349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 9834190349 is about 99167.4863501138. The cubic root of 9834190349 is about 2142.4607287250.

The spelling of 9834190349 in words is "nine billion, eight hundred thirty-four million, one hundred ninety thousand, three hundred forty-nine".