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34354045343 is a prime number
BaseRepresentation
bin11111111111101010…
…010010000110011111
310021200012012022201202
4133333222102012133
51030324113422333
623440530230115
72324216365412
oct377752220637
9107605168652
1034354045343
1113629a65812
1267a912533b
1333164580a7
14193c7ddb79
15d60ed65e8
hex7ffa9219f

34354045343 has 2 divisors, whose sum is σ = 34354045344. Its totient is φ = 34354045342.

The previous prime is 34354045333. The next prime is 34354045361.

34354045343 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 34354045343 - 220 = 34352996767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34354045297 and 34354045306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34354045333) 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, 17177022671 + 17177022672.

It is an arithmetic number, because the mean of its divisors is an integer number (17177022672).

Almost surely, 234354045343 is an apocalyptic number.

34354045343 is a deficient number, since it is larger than the sum of its proper divisors (1).

34354045343 is an equidigital number, since it uses as much as digits as its factorization.

34354045343 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 343540 and 45343, that added together give a palindrome (388883).

The spelling of 34354045343 in words is "thirty-four billion, three hundred fifty-four million, forty-five thousand, three hundred forty-three".