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814282349 is a prime number
BaseRepresentation
bin110000100010001…
…111011001101101
32002202012211101112
4300202033121231
53131424013344
6212444521405
726115200006
oct6042173155
92082184345
10814282349
11388706421
121a8850265
13cc91399a
147a2061ad
154b748c9e
hex3088f66d

814282349 has 2 divisors, whose sum is σ = 814282350. Its totient is φ = 814282348.

The previous prime is 814282331. The next prime is 814282367. The reversal of 814282349 is 943282418.

814282349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (814282331) and next prime (814282367).

It can be written as a sum of positive squares in only one way, i.e., 514473124 + 299809225 = 22682^2 + 17315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-814282349 is a prime.

It is a Sophie Germain 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 (814282319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407141174 + 407141175.

It is an arithmetic number, because the mean of its divisors is an integer number (407141175).

Almost surely, 2814282349 is an apocalyptic number.

It is an amenable number.

814282349 is a deficient number, since it is larger than the sum of its proper divisors (1).

814282349 is an equidigital number, since it uses as much as digits as its factorization.

814282349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 41.

The square root of 814282349 is about 28535.6329700254. The cubic root of 814282349 is about 933.8096126818.

The spelling of 814282349 in words is "eight hundred fourteen million, two hundred eighty-two thousand, three hundred forty-nine".