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34220264300 = 225243127223281
BaseRepresentation
bin11111110111101011…
…111100101101101100
310021022212110112122022
4133313223330231230
51030040341424200
623415351005312
72321003306255
oct376753745554
9107285415568
1034220264300
11135704a1072
126770369838
1332c4817601
141928b37b2c
15d543ac885
hex7f7afcb6c

34220264300 has 144 divisors (see below), whose sum is σ = 77200392192. Its totient is φ = 13158028800.

The previous prime is 34220264293. The next prime is 34220264321. The reversal of 34220264300 is 346202243.

It is a self number, because there is not a number n which added to its sum of digits gives 34220264300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121780160 + ... + 121780440.

Almost surely, 234220264300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220264300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38600196096).

34220264300 is an abundant number, since it is smaller than the sum of its proper divisors (42980127892).

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

34220264300 is a wasteful number, since it uses less digits than its factorization.

34220264300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34220264300 its reverse (346202243), we get a palindrome (34566466543).

The spelling of 34220264300 in words is "thirty-four billion, two hundred twenty million, two hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 127 172 215 223 254 281 430 446 508 562 635 860 892 1075 1115 1124 1270 1405 2150 2230 2540 2810 3175 4300 4460 5461 5575 5620 6350 7025 9589 10922 11150 12083 12700 14050 19178 21844 22300 24166 27305 28100 28321 35687 38356 47945 48332 54610 56642 60415 62663 71374 95890 109220 113284 120830 125326 136525 141605 142748 178435 191780 239725 241660 250652 273050 283210 302075 313315 356870 479450 546100 566420 604150 626630 708025 713740 892175 958900 1208300 1217803 1253260 1416050 1534541 1566575 1784350 2435606 2694509 2832100 3069082 3133150 3568700 4871212 5389018 6089015 6138164 6266300 7672705 7958201 10778036 12178030 13472545 15345410 15916402 24356060 26945090 30445075 30690820 31832804 38363525 39791005 53890180 60890150 67362725 76727050 79582010 121780300 134725450 153454100 159164020 198955025 269450900 342202643 397910050 684405286 795820100 1368810572 1711013215 3422026430 6844052860 8555066075 17110132150 34220264300