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114259349 is a prime number
BaseRepresentation
bin1101100111101…
…11010110010101
321221222222100202
412303313112111
5213222244344
615200550245
72555121431
oct663672625
9257888322
10114259349
1159550816
1232322385
131a896ca9
14112639c1
15a06e94e
hex6cf7595

114259349 has 2 divisors, whose sum is σ = 114259350. Its totient is φ = 114259348.

The previous prime is 114259337. The next prime is 114259351. The reversal of 114259349 is 943952411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71944324 + 42315025 = 8482^2 + 6505^2 .

It is an emirp because it is prime and its reverse (943952411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114259349 is a prime.

Together with 114259351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114259319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57129674 + 57129675.

It is an arithmetic number, because the mean of its divisors is an integer number (57129675).

Almost surely, 2114259349 is an apocalyptic number.

It is an amenable number.

114259349 is a deficient number, since it is larger than the sum of its proper divisors (1).

114259349 is an equidigital number, since it uses as much as digits as its factorization.

114259349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 38.

The square root of 114259349 is about 10689.2164820439. The cubic root of 114259349 is about 485.2481799221.

The spelling of 114259349 in words is "one hundred fourteen million, two hundred fifty-nine thousand, three hundred forty-nine".