Search a number
-
+
34101051336 = 233211280315361
BaseRepresentation
bin11111110000100101…
…001011111111001000
310021000120010220012100
4133300211023333020
51024314332120321
623355451513400
72315025103512
oct376045137710
9107016126170
1034101051336
111350a177660
126738458860
1332a5c079b1
141916d84bb2
15d48bb0326
hex7f094bfc8

34101051336 has 96 divisors (see below), whose sum is σ = 100795612320. Its totient is φ = 10329292800.

The previous prime is 34101051331. The next prime is 34101051337. The reversal of 34101051336 is 63315010143.

It is not an unprimeable number, because it can be changed into a prime (34101051331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212296 + ... + 2227656.

It is an arithmetic number, because the mean of its divisors is an integer number (1049954295).

Almost surely, 234101051336 is an apocalyptic number.

34101051336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34101051336 is an abundant number, since it is smaller than the sum of its proper divisors (66694560984).

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

34101051336 is a wasteful number, since it uses less digits than its factorization.

34101051336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18187 (or 18180 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 34101051336 its reverse (63315010143), we get a palindrome (97416061479).

The spelling of 34101051336 in words is "thirty-four billion, one hundred one million, fifty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2803 5606 8409 11212 15361 16818 22424 25227 30722 30833 33636 46083 50454 61444 61666 67272 92166 92499 100908 122888 123332 138249 168971 184332 184998 201816 246664 276498 277497 337942 368664 369996 506913 552996 554994 675884 739992 1013826 1105992 1109988 1351768 1520739 2027652 2219976 3041478 4055304 6082956 12165912 43056883 86113766 129170649 172227532 258341298 344455064 387511947 473625713 516682596 775023894 947251426 1033365192 1420877139 1550047788 1894502852 2841754278 3100095576 3789005704 4262631417 5683508556 8525262834 11367017112 17050525668 34101051336