Search a number
-
+
34404420233 is a prime number
BaseRepresentation
bin100000000010101010…
…011100101010001001
310021210200222122002102
4200002222130222021
51030430012421413
623445530043145
72325400514111
oct400252345211
9107720878072
1034404420233
1113655442157
126801b794b5
133323a15011
141945394041
15d65637458
hex802a9ca89

34404420233 has 2 divisors, whose sum is σ = 34404420234. Its totient is φ = 34404420232.

The previous prime is 34404420223. The next prime is 34404420263. The reversal of 34404420233 is 33202440443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18575509264 + 15828910969 = 136292^2 + 125813^2 .

It is an emirp because it is prime and its reverse (33202440443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34404420233 - 216 = 34404354697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34404420196 and 34404420205.

It is not a weakly prime, because it can be changed into another prime (34404420223) 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, 17202210116 + 17202210117.

It is an arithmetic number, because the mean of its divisors is an integer number (17202210117).

Almost surely, 234404420233 is an apocalyptic number.

It is an amenable number.

34404420233 is a deficient number, since it is larger than the sum of its proper divisors (1).

34404420233 is an equidigital number, since it uses as much as digits as its factorization.

34404420233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 34404420233 its reverse (33202440443), we get a palindrome (67606860676).

The spelling of 34404420233 in words is "thirty-four billion, four hundred four million, four hundred twenty thousand, two hundred thirty-three".