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34512004353 = 3313671011163
BaseRepresentation
bin100000001001000100…
…110110010100000001
310022002012102110202110
4200021010312110001
51031140033114403
623504332005533
72331145124331
oct401104662401
9108065373673
1034512004353
1113700143752
1268320008a9
1333400b2868
14195579b0c1
15d6ecd9103
hex809136501

34512004353 has 16 divisors (see below), whose sum is σ = 47629869056. Its totient is φ = 22205117520.

The previous prime is 34512004327. The next prime is 34512004363. The reversal of 34512004353 is 35340021543.

It is not a de Polignac number, because 34512004353 - 229 = 33975133441 is a prime.

It is a super-3 number, since 3×345120043533 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34512004353.

It is not an unprimeable number, because it can be changed into a prime (34512004363) 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 in 15 ways as a sum of consecutive naturals, for example, 471451 + ... + 539712.

It is an arithmetic number, because the mean of its divisors is an integer number (2976866816).

Almost surely, 234512004353 is an apocalyptic number.

It is an amenable number.

34512004353 is a deficient number, since it is larger than the sum of its proper divisors (13117864703).

34512004353 is a wasteful number, since it uses less digits than its factorization.

34512004353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011564.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 34512004353 its reverse (35340021543), we get a palindrome (69852025896).

The spelling of 34512004353 in words is "thirty-four billion, five hundred twelve million, four thousand, three hundred fifty-three".

Divisors: 1 3 31 93 367 1101 11377 34131 1011163 3033489 31346053 94038159 371096821 1113290463 11504001451 34512004353