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414229349 is a prime number
BaseRepresentation
bin11000101100001…
…010001101100101
31001212110000211202
4120230022031211
51322020314344
6105034212245
713156614512
oct3054121545
91055400752
10414229349
111a2904706
12b6884085
1367a84231
143d02a309
152657494e
hex18b0a365

414229349 has 2 divisors, whose sum is σ = 414229350. Its totient is φ = 414229348.

The previous prime is 414229337. The next prime is 414229351. The reversal of 414229349 is 943922414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364428100 + 49801249 = 19090^2 + 7057^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414229349 is a prime.

Together with 414229351, 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 (414229399) 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, 207114674 + 207114675.

It is an arithmetic number, because the mean of its divisors is an integer number (207114675).

Almost surely, 2414229349 is an apocalyptic number.

It is an amenable number.

414229349 is a deficient number, since it is larger than the sum of its proper divisors (1).

414229349 is an equidigital number, since it uses as much as digits as its factorization.

414229349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 38.

The square root of 414229349 is about 20352.6251132378. The cubic root of 414229349 is about 745.4415945684.

The spelling of 414229349 in words is "four hundred fourteen million, two hundred twenty-nine thousand, three hundred forty-nine".