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34220345300 = 225223101147311
BaseRepresentation
bin11111110111101100…
…010000011111010100
310021022212121122202022
4133313230100133110
51030040402022200
623415352432312
72321004064361
oct376754203724
9107285548668
1034220345300
1113570546a09
1267703a8698
1332c484543b
141928b59468
15d543c6885
hex7f7b107d4

34220345300 has 72 divisors (see below), whose sum is σ = 78254491392. Its totient is φ = 12963280000.

The previous prime is 34220345297. The next prime is 34220345309. The reversal of 34220345300 is 354302243.

It is a self number, because there is not a number n which added to its sum of digits gives 34220345300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220345309) 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, 158645 + ... + 305955.

It is an arithmetic number, because the mean of its divisors is an integer number (1086867936).

Almost surely, 234220345300 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 34220345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39127245696).

34220345300 is an abundant number, since it is smaller than the sum of its proper divisors (44034146092).

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

34220345300 is a wasteful number, since it uses less digits than its factorization.

34220345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147449 (or 147442 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 34220345300 its reverse (354302243), we get a palindrome (34574647543).

The spelling of 34220345300 in words is "thirty-four billion, two hundred twenty million, three hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 101 115 202 230 404 460 505 575 1010 1150 2020 2300 2323 2525 4646 5050 9292 10100 11615 23230 46460 58075 116150 147311 232300 294622 589244 736555 1473110 2946220 3388153 3682775 6776306 7365550 13552612 14731100 14878411 16940765 29756822 33881530 59513644 67763060 74392055 84703825 148784110 169407650 297568220 338815300 342203453 371960275 684406906 743920550 1368813812 1487841100 1711017265 3422034530 6844069060 8555086325 17110172650 34220345300