Search a number
-
+
243846349 is a prime number
BaseRepresentation
bin11101000100011…
…00110011001101
3121222211200022021
432202030303031
5444411040344
640110250141
76020442205
oct1642146315
9558750267
10243846349
1111571040a
12697b6951
133b6997a6
1424557405
151661ab84
hexe88cccd

243846349 has 2 divisors, whose sum is σ = 243846350. Its totient is φ = 243846348.

The previous prime is 243846347. The next prime is 243846359. The reversal of 243846349 is 943648342.

243846349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235837449 + 8008900 = 15357^2 + 2830^2 .

It is a cyclic number.

It is not a de Polignac number, because 243846349 - 21 = 243846347 is a prime.

It is a super-3 number, since 3×2438463493 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 243846347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (243846347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121923174 + 121923175.

It is an arithmetic number, because the mean of its divisors is an integer number (121923175).

Almost surely, 2243846349 is an apocalyptic number.

It is an amenable number.

243846349 is a deficient number, since it is larger than the sum of its proper divisors (1).

243846349 is an equidigital number, since it uses as much as digits as its factorization.

243846349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 497664, while the sum is 43.

The square root of 243846349 is about 15615.5803286333. The cubic root of 243846349 is about 624.7487835180.

The spelling of 243846349 in words is "two hundred forty-three million, eight hundred forty-six thousand, three hundred forty-nine".