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384208841 is a prime number
BaseRepresentation
bin10110111001101…
…000111111001001
3222202221211110002
4112321220333021
51241324140331
6102042532345
712343502252
oct2671507711
9882854402
10384208841
1118796a875
12a88070b5
13617a2b13
1439053b29
1523ae49cb
hex16e68fc9

384208841 has 2 divisors, whose sum is σ = 384208842. Its totient is φ = 384208840.

The previous prime is 384208829. The next prime is 384208843. The reversal of 384208841 is 148802483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384160000 + 48841 = 19600^2 + 221^2 .

It is a cyclic number.

It is not a de Polignac number, because 384208841 - 226 = 317099977 is a prime.

Together with 384208843, 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 = 384208795 and 384208804.

It is not a weakly prime, because it can be changed into another prime (384208843) 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, 192104420 + 192104421.

It is an arithmetic number, because the mean of its divisors is an integer number (192104421).

Almost surely, 2384208841 is an apocalyptic number.

It is an amenable number.

384208841 is a deficient number, since it is larger than the sum of its proper divisors (1).

384208841 is an equidigital number, since it uses as much as digits as its factorization.

384208841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 384208841 is about 19601.2459042786. The cubic root of 384208841 is about 726.9799803643.

The spelling of 384208841 in words is "three hundred eighty-four million, two hundred eight thousand, eight hundred forty-one".