Search a number
-
+
3342180817 is a prime number
BaseRepresentation
bin1100011100110101…
…1010000111010001
322121220220101011201
43013031122013101
523321044241232
61311350311201
7145552032253
oct30715320721
98556811151
103342180817
111465634a08
12793358501
134135606b1
14239c39cd3
15148635be7
hexc735a1d1

3342180817 has 2 divisors, whose sum is σ = 3342180818. Its totient is φ = 3342180816.

The previous prime is 3342180811. The next prime is 3342180869. The reversal of 3342180817 is 7180812433.

3342180817 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., 1911525841 + 1430654976 = 43721^2 + 37824^2 .

It is a cyclic number.

It is not a de Polignac number, because 3342180817 - 211 = 3342178769 is a prime.

It is a super-2 number, since 2×33421808172 = 22340345227045574978, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3342180811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1671090408 + 1671090409.

It is an arithmetic number, because the mean of its divisors is an integer number (1671090409).

Almost surely, 23342180817 is an apocalyptic number.

It is an amenable number.

3342180817 is a deficient number, since it is larger than the sum of its proper divisors (1).

3342180817 is an equidigital number, since it uses as much as digits as its factorization.

3342180817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 3342180817 is about 57811.5975994437. The cubic root of 3342180817 is about 1495.1220530994.

The spelling of 3342180817 in words is "three billion, three hundred forty-two million, one hundred eighty thousand, eight hundred seventeen".