Search a number
-
+
301830401 is a prime number
BaseRepresentation
bin10001111111011…
…001000100000001
3210000221120110202
4101333121010001
51104232033101
645541134545
710323342005
oct2177310401
9700846422
10301830401
11145414714
12850ba455
134a6bbc92
142c12c705
151b77136b
hex11fd9101

301830401 has 2 divisors, whose sum is σ = 301830402. Its totient is φ = 301830400.

The previous prime is 301830391. The next prime is 301830407. The reversal of 301830401 is 104038103.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268468225 + 33362176 = 16385^2 + 5776^2 .

It is a cyclic number.

It is not a de Polignac number, because 301830401 - 214 = 301814017 is a prime.

It is a super-2 number, since 2×3018304012 = 182203181935641602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (301830407) 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, 150915200 + 150915201.

It is an arithmetic number, because the mean of its divisors is an integer number (150915201).

Almost surely, 2301830401 is an apocalyptic number.

It is an amenable number.

301830401 is a deficient number, since it is larger than the sum of its proper divisors (1).

301830401 is an equidigital number, since it uses as much as digits as its factorization.

301830401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 301830401 is about 17373.2668488111. The cubic root of 301830401 is about 670.7916690848.

Adding to 301830401 its reverse (104038103), we get a palindrome (405868504).

The spelling of 301830401 in words is "three hundred one million, eight hundred thirty thousand, four hundred one".