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34084458433 is a prime number
BaseRepresentation
bin11111101111100101…
…111000111111000001
310020222101220220000101
4133233211320333001
51024301110132213
623354100122401
72314434054634
oct375745707701
9106871826011
1034084458433
1113500874113
126732996401
1332a26482cc
141914aa5c1b
15d474d3bdd
hex7ef978fc1

34084458433 has 2 divisors, whose sum is σ = 34084458434. Its totient is φ = 34084458432.

The previous prime is 34084458383. The next prime is 34084458449. The reversal of 34084458433 is 33485448043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21583429569 + 12501028864 = 146913^2 + 111808^2 .

It is an emirp because it is prime and its reverse (33485448043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34084458433 is a prime.

It is not a weakly prime, because it can be changed into another prime (34084458493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17042229216 + 17042229217.

It is an arithmetic number, because the mean of its divisors is an integer number (17042229217).

Almost surely, 234084458433 is an apocalyptic number.

It is an amenable number.

34084458433 is a deficient number, since it is larger than the sum of its proper divisors (1).

34084458433 is an equidigital number, since it uses as much as digits as its factorization.

34084458433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 34084458433 in words is "thirty-four billion, eighty-four million, four hundred fifty-eight thousand, four hundred thirty-three".