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34084458606 = 231119181150169
BaseRepresentation
bin11111101111100101…
…111001000001101110
310020222101220220020210
4133233211321001232
51024301110133411
623354100123250
72314434055302
oct375745710156
9106871826223
1034084458606
1113500874260
126732996526
1332a2648403
141914aa5d02
15d474d3ca6
hex7ef97906e

34084458606 has 64 divisors (see below), whose sum is σ = 78713107200. Its totient is φ = 9730886400.

The previous prime is 34084458493. The next prime is 34084458607. The reversal of 34084458606 is 60685448043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34084458607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151890 + ... + 302058.

It is an arithmetic number, because the mean of its divisors is an integer number (1229892300).

Almost surely, 234084458606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34084458606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39356553600).

34084458606 is an abundant number, since it is smaller than the sum of its proper divisors (44628648594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34084458606 is a wasteful number, since it uses less digits than its factorization.

34084458606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150385.

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 34084458606 in words is "thirty-four billion, eighty-four million, four hundred fifty-eight thousand, six hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 181 209 362 418 543 627 1086 1254 1991 3439 3982 5973 6878 10317 11946 20634 37829 75658 113487 150169 226974 300338 450507 901014 1651859 2853211 3303718 4955577 5706422 8559633 9911154 17119266 27180589 31385321 54361178 62770642 81541767 94155963 163083534 188311926 298986479 516431191 597972958 896959437 1032862382 1549293573 1793918874 3098587146 5680743101 11361486202 17042229303 34084458606