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34006229335 = 5134099971283
BaseRepresentation
bin11111101010111011…
…011110000101010111
310020202221201102212101
4133222323132011113
51024121043314320
623342223302531
72312464115521
oct375273360527
9106687642771
1034006229335
11134706a2471
12671074aa47
13328c387cc0
141908540a11
15d406cec0a
hex7eaede157

34006229335 has 32 divisors (see below), whose sum is σ = 44132518080. Its totient is φ = 25006261248.

The previous prime is 34006229329. The next prime is 34006229377. The reversal of 34006229335 is 53392260043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34006229335 - 217 = 34006098263 is a prime.

It is a super-2 number, since 2×340062293352 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34006229294 and 34006229303.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 26504604 + ... + 26505886.

It is an arithmetic number, because the mean of its divisors is an integer number (1379141190).

Almost surely, 234006229335 is an apocalyptic number.

34006229335 is a deficient number, since it is larger than the sum of its proper divisors (10126288745).

34006229335 is a wasteful number, since it uses less digits than its factorization.

34006229335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707.

The product of its (nonzero) digits is 116640, while the sum is 37.

Adding to 34006229335 its reverse (53392260043), we get a palindrome (87398489378).

The spelling of 34006229335 in words is "thirty-four billion, six million, two hundred twenty-nine thousand, three hundred thirty-five".

Divisors: 1 5 13 65 409 997 1283 2045 4985 5317 6415 12961 16679 26585 64805 83395 407773 524747 1279151 2038865 2623735 5301049 6395755 6821711 16628963 26505245 34108555 83144815 523172759 2615863795 6801245867 34006229335