Search a number
-
+
344132332417 is a prime number
BaseRepresentation
bin1010000000111111110…
…00101010101110000001
31012220021011200210122101
411000133320222232001
521114240334114132
6422031530110401
733601630363456
oct5003770525601
91186234623571
10344132332417
11122a448038a5
125684127b401
13265b4056b83
141292846d82d
158e41d5a7e7
hex501fe2ab81

344132332417 has 2 divisors, whose sum is σ = 344132332418. Its totient is φ = 344132332416.

The previous prime is 344132332387. The next prime is 344132332451. The reversal of 344132332417 is 714233231443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250799638401 + 93332694016 = 500799^2 + 305504^2 .

It is an emirp because it is prime and its reverse (714233231443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344132332417 - 223 = 344123943809 is a prime.

It is not a weakly prime, because it can be changed into another prime (344132332217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172066166208 + 172066166209.

It is an arithmetic number, because the mean of its divisors is an integer number (172066166209).

Almost surely, 2344132332417 is an apocalyptic number.

It is an amenable number.

344132332417 is a deficient number, since it is larger than the sum of its proper divisors (1).

344132332417 is an equidigital number, since it uses as much as digits as its factorization.

344132332417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 145152, while the sum is 37.

The spelling of 344132332417 in words is "three hundred forty-four billion, one hundred thirty-two million, three hundred thirty-two thousand, four hundred seventeen".