Search a number
-
+
34222340300 = 22522947251081
BaseRepresentation
bin11111110111110011…
…110111100011001100
310021100000101000101012
4133313303313203030
51030041404342200
623415503304352
72321030043611
oct376763674314
9107300330335
1034222340300
1113571689875
126770bab0b8
1332c5093505
141929118508
15d5466ca35
hex7f7cf78cc

34222340300 has 72 divisors (see below), whose sum is σ = 78458103360. Its totient is φ = 12935641600.

The previous prime is 34222340287. The next prime is 34222340311. The reversal of 34222340300 is 304322243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10760 + ... + 261840.

It is an arithmetic number, because the mean of its divisors is an integer number (1089695880).

Almost surely, 234222340300 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 34222340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39229051680).

34222340300 is an abundant number, since it is smaller than the sum of its proper divisors (44235763060).

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

34222340300 is a wasteful number, since it uses less digits than its factorization.

34222340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251171 (or 251164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 34222340300 its reverse (304322243), we get a palindrome (34526662543).

The spelling of 34222340300 in words is "thirty-four billion, two hundred twenty-two million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 580 725 940 1175 1363 1450 2350 2726 2900 4700 5452 6815 13630 27260 34075 68150 136300 251081 502162 1004324 1255405 2510810 5021620 6277025 7281349 11800807 12554050 14562698 23601614 25108100 29125396 36406745 47203228 59004035 72813490 118008070 145626980 182033725 236016140 295020175 342223403 364067450 590040350 684446806 728134900 1180080700 1368893612 1711117015 3422234030 6844468060 8555585075 17111170150 34222340300