Search a number
-
+
3407856841 is a prime number
BaseRepresentation
bin1100101100011111…
…1100010011001001
322210111111001202001
43023013330103021
523434402404331
61322054111001
7150310206454
oct31307742311
98714431661
103407856841
111499712314
127b134b461
1342404704c
1424485449b
1514e2aa561
hexcb1fc4c9

3407856841 has 2 divisors, whose sum is σ = 3407856842. Its totient is φ = 3407856840.

The previous prime is 3407856833. The next prime is 3407856887. The reversal of 3407856841 is 1486587043.

3407856841 = T47663 + T47664 + T47665.

It is a happy number.

It is an a-pointer prime, because the next prime (3407856887) can be obtained adding 3407856841 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2851132816 + 556724025 = 53396^2 + 23595^2 .

It is a cyclic number.

It is not a de Polignac number, because 3407856841 - 23 = 3407856833 is a prime.

It is a super-2 number, since 2×34078568412 = 23226976497500998562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3407856791 and 3407856800.

It is not a weakly prime, because it can be changed into another prime (3407856241) 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, 1703928420 + 1703928421.

It is an arithmetic number, because the mean of its divisors is an integer number (1703928421).

Almost surely, 23407856841 is an apocalyptic number.

3407856841 is the 47665-th centered triangular number.

It is an amenable number.

3407856841 is a deficient number, since it is larger than the sum of its proper divisors (1).

3407856841 is an equidigital number, since it uses as much as digits as its factorization.

3407856841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 3407856841 is about 58376.8519277975. The cubic root of 3407856841 is about 1504.8519688252.

The spelling of 3407856841 in words is "three billion, four hundred seven million, eight hundred fifty-six thousand, eight hundred forty-one".