Search a number
-
+
34384546561 is a prime number
BaseRepresentation
bin100000000001011110…
…101000101100000001
310021202022120221112111
4200001132220230001
51030404420442221
623443540055321
72325036552301
oct400136505401
9107668527474
1034384546561
11136451a8832
1267b7394541
13331c877251
14194289d601
15d63a0dbe1
hex8017a8b01

34384546561 has 2 divisors, whose sum is σ = 34384546562. Its totient is φ = 34384546560.

The previous prime is 34384546499. The next prime is 34384546571. The reversal of 34384546561 is 16564548343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34239801600 + 144744961 = 185040^2 + 12031^2 .

It is a cyclic number.

It is not a de Polignac number, because 34384546561 - 27 = 34384546433 is a prime.

It is not a weakly prime, because it can be changed into another prime (34384546571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17192273280 + 17192273281.

It is an arithmetic number, because the mean of its divisors is an integer number (17192273281).

Almost surely, 234384546561 is an apocalyptic number.

It is an amenable number.

34384546561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34384546561 is an equidigital number, since it uses as much as digits as its factorization.

34384546561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4147200, while the sum is 49.

The spelling of 34384546561 in words is "thirty-four billion, three hundred eighty-four million, five hundred forty-six thousand, five hundred sixty-one".