Search a number
-
+
3340681457 is a prime number
BaseRepresentation
bin1100011100011110…
…1100000011110001
322121211002012102212
43013013230003301
523320203301312
61311254221505
7145533216041
oct30707540361
98554065385
103340681457
111464800473
12792954895
134131570b9
14239969721
1514843b822
hexc71ec0f1

3340681457 has 2 divisors, whose sum is σ = 3340681458. Its totient is φ = 3340681456.

The previous prime is 3340681429. The next prime is 3340681459. The reversal of 3340681457 is 7541860433.

3340681457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1965680896 + 1375000561 = 44336^2 + 37081^2 .

It is a cyclic number.

It is not a de Polignac number, because 3340681457 - 214 = 3340665073 is a prime.

It is a super-2 number, since 2×33406814572 = 22320305194287285698, which contains 22 as substring.

Together with 3340681459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3340681459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1670340728 + 1670340729.

It is an arithmetic number, because the mean of its divisors is an integer number (1670340729).

Almost surely, 23340681457 is an apocalyptic number.

It is an amenable number.

3340681457 is a deficient number, since it is larger than the sum of its proper divisors (1).

3340681457 is an equidigital number, since it uses as much as digits as its factorization.

3340681457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 3340681457 is about 57798.6285044896. The cubic root of 3340681457 is about 1494.8984404710.

The spelling of 3340681457 in words is "three billion, three hundred forty million, six hundred eighty-one thousand, four hundred fifty-seven".