Search a number
-
+
344128801 is a prime number
BaseRepresentation
bin10100100000101…
…111110100100001
3212222112112222011
4110200233310201
51201044110201
654051512521
711346021652
oct2440576441
9788475864
10344128801
11167285075
12972b8741
13563aba13
14339bd529
1520329151
hex1482fd21

344128801 has 2 divisors, whose sum is σ = 344128802. Its totient is φ = 344128800.

The previous prime is 344128777. The next prime is 344128831. The reversal of 344128801 is 108821443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235469025 + 108659776 = 15345^2 + 10424^2 .

It is a cyclic number.

It is not a de Polignac number, because 344128801 - 29 = 344128289 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (344128831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172064400 + 172064401.

It is an arithmetic number, because the mean of its divisors is an integer number (172064401).

Almost surely, 2344128801 is an apocalyptic number.

It is an amenable number.

344128801 is a deficient number, since it is larger than the sum of its proper divisors (1).

344128801 is an equidigital number, since it uses as much as digits as its factorization.

344128801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 344128801 is about 18550.7089082870. The cubic root of 344128801 is about 700.7670510051.

The spelling of 344128801 in words is "three hundred forty-four million, one hundred twenty-eight thousand, eight hundred one".