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34232244306 = 23135371223523
BaseRepresentation
bin11111111000011001…
…101001100001010010
310021100201000012010020
4133320121221201102
51030101423304211
623420455444310
72321210163351
oct377031514122
9107321005106
1034232244306
11135772338a7
126774386696
1332c7150480
14192a575998
15d55477306
hex7f8669852

34232244306 has 128 divisors (see below), whose sum is σ = 76668125184. Its totient is φ = 10123626240.

The previous prime is 34232244289. The next prime is 34232244317. The reversal of 34232244306 is 60344223243.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65453361 + ... + 65453883.

It is an arithmetic number, because the mean of its divisors is an integer number (598969728).

Almost surely, 234232244306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34232244306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38334062592).

34232244306 is an abundant number, since it is smaller than the sum of its proper divisors (42435880878).

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

34232244306 is a wasteful number, since it uses less digits than its factorization.

34232244306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 34232244306 its reverse (60344223243), we get a palindrome (94576467549).

The spelling of 34232244306 in words is "thirty-four billion, two hundred thirty-two million, two hundred forty-four thousand, three hundred six".

Divisors: 1 2 3 6 13 26 39 53 71 78 106 142 159 213 223 318 426 446 523 669 689 923 1046 1338 1378 1569 1846 2067 2769 2899 3138 3763 4134 5538 5798 6799 7526 8697 11289 11819 13598 15833 17394 20397 22578 23638 27719 31666 35457 37133 40794 47499 48919 55438 70914 74266 83157 94998 97838 111399 116629 146757 153647 166314 205829 222798 233258 293514 307294 349887 360347 411658 460941 482729 617487 699774 720694 839149 921882 965458 1081041 1234974 1448187 1516177 1678298 1968049 2162082 2517447 2896374 3032354 3936098 4548531 5034894 5904147 6181337 8280659 9097062 10908937 11808294 12362674 16561318 18544011 21817874 24841977 25584637 32726811 37088022 49683954 51169274 65453622 76753911 80357381 107648567 153507822 160714762 215297134 241072143 322945701 438874927 482144286 645891402 877749854 1316624781 2633249562 5705374051 11410748102 17116122153 34232244306