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34052004413 = 72341127151269
BaseRepresentation
bin11111101101101010…
…000101101000111101
310020220010212001110122
4133231222011220331
51024214303120123
623350540344325
72313561155540
oct375552055075
9106803761418
1034052004413
1113494517a09
126723b450a5
1332989c434b
141910658857
15d44722bc8
hex7eda85a3d

34052004413 has 64 divisors (see below), whose sum is σ = 42361159680. Its totient is φ = 26744256000.

The previous prime is 34052004407. The next prime is 34052004431. The reversal of 34052004413 is 31440025043.

It is not a de Polignac number, because 34052004413 - 210 = 34052003389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052004313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126587243 + ... + 126587511.

It is an arithmetic number, because the mean of its divisors is an integer number (661893120).

Almost surely, 234052004413 is an apocalyptic number.

It is an amenable number.

34052004413 is a deficient number, since it is larger than the sum of its proper divisors (8309155267).

34052004413 is a wasteful number, since it uses less digits than its factorization.

34052004413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 34052004413 its reverse (31440025043), we get a palindrome (65492029456).

The spelling of 34052004413 in words is "thirty-four billion, fifty-two million, four thousand, four hundred thirteen".

Divisors: 1 7 23 41 127 151 161 269 287 889 943 1057 1883 2921 3473 5207 6187 6191 6601 11029 19177 20447 24311 34163 36449 40619 43309 43337 77203 119761 134239 142393 239141 253667 284333 441071 785749 786257 838327 934237 996751 1400683 1665379 1775669 3087497 5158613 5500243 5503799 6539659 9804781 11657653 18083911 32215709 36110291 38303717 118648099 126587377 211503133 225509963 268126019 830536693 1480521931 4864572059 34052004413