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34422024234 = 231319157239619
BaseRepresentation
bin100000000011101101…
…100110100000101010
310021211221010000020110
4200003231212200222
51030444014233414
623451355235150
72326003243533
oct400355464052
9107757100213
1034422024234
1113664376314
126807a48ab6
1333275699a0
14194785768a
15d66e63459
hex803b6682a

34422024234 has 128 divisors (see below), whose sum is σ = 78994944000. Its totient is φ = 9912284928.

The previous prime is 34422024193. The next prime is 34422024277. The reversal of 34422024234 is 43242022443.

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, 55608777 + ... + 55609395.

It is an arithmetic number, because the mean of its divisors is an integer number (617148000).

Almost surely, 234422024234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34422024234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497472000).

34422024234 is an abundant number, since it is smaller than the sum of its proper divisors (44572919766).

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

34422024234 is a wasteful number, since it uses less digits than its factorization.

34422024234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34422024234 its reverse (43242022443), we get a palindrome (77664046677).

The spelling of 34422024234 in words is "thirty-four billion, four hundred twenty-two million, twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 157 239 247 314 471 478 494 619 717 741 942 1238 1434 1482 1857 2041 2983 3107 3714 4082 4541 5966 6123 6214 8047 8949 9082 9321 11761 12246 13623 16094 17898 18642 23522 24141 27246 35283 37523 38779 48282 59033 70566 75046 77558 97183 112569 116337 118066 147941 152893 177099 194366 225138 232674 291549 295882 305786 354198 443823 458679 487799 583098 712937 887646 917358 975598 1263379 1425874 1463397 1846477 1923233 2138811 2526758 2810879 2926794 3692954 3790137 3846466 4277622 5539431 5621758 5769699 7580274 8432637 9268181 11078862 11539398 16865274 18536362 23226737 24004201 27804543 36541427 46453474 48008402 55609086 69680211 72012603 73082854 109624281 139360422 144025206 219248562 301947581 441308003 603895162 882616006 905842743 1323924009 1811685486 2647848018 5737004039 11474008078 17211012117 34422024234