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34460964229 is a prime number
BaseRepresentation
bin100000000110000010…
…001001010110000101
310021221122101100212111
4200012002021112011
51031034001323404
623455310021021
72326655235316
oct400602112605
9107848340774
1034460964229
111368435252a
126818aa7771
133332651bc3
14194cab260d
15d6a5a6104
hex806089585

34460964229 has 2 divisors, whose sum is σ = 34460964230. Its totient is φ = 34460964228.

The previous prime is 34460964157. The next prime is 34460964337. The reversal of 34460964229 is 92246906443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29782130625 + 4678833604 = 172575^2 + 68402^2 .

It is a cyclic number.

It is not a de Polignac number, because 34460964229 - 219 = 34460439941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34460964029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17230482114 + 17230482115.

It is an arithmetic number, because the mean of its divisors is an integer number (17230482115).

Almost surely, 234460964229 is an apocalyptic number.

It is an amenable number.

34460964229 is a deficient number, since it is larger than the sum of its proper divisors (1).

34460964229 is an equidigital number, since it uses as much as digits as its factorization.

34460964229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2239488, while the sum is 49.

The spelling of 34460964229 in words is "thirty-four billion, four hundred sixty million, nine hundred sixty-four thousand, two hundred twenty-nine".