Search a number
-
+
34543434200 = 235211101155461
BaseRepresentation
bin100000001010111100…
…101111100111011000
310022011101120021101212
4200022330233213120
51031221104343300
623511413402252
72332006226462
oct401274574730
9108141507355
1034543434200
1113716960430
126840639388
1333467685c2
141959a1d132
15d72946935
hex80af2f9d8

34543434200 has 96 divisors (see below), whose sum is σ = 88482751920. Its totient is φ = 12436800000.

The previous prime is 34543434179. The next prime is 34543434209. The reversal of 34543434200 is 243434543.

34543434200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34543434209) 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, 144470 + ... + 299930.

Almost surely, 234543434200 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 34543434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241375960).

34543434200 is an abundant number, since it is smaller than the sum of its proper divisors (53939317720).

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

34543434200 is a wasteful number, since it uses less digits than its factorization.

34543434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155589 (or 155580 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 34543434200 its reverse (243434543), we get a palindrome (34786868743).

It can be divided in two parts, 3454343 and 4200, that added together give a palindrome (3458543).

The spelling of 34543434200 in words is "thirty-four billion, five hundred forty-three million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 155461 222200 310922 621844 777305 1243688 1554610 1710071 3109220 3420142 3886525 6218440 6840284 7773050 8550355 13680568 15546100 15701561 17100710 31092200 31403122 34201420 42751775 62806244 68402840 78507805 85503550 125612488 157015610 171007100 172717171 314031220 342014200 345434342 392539025 628062440 690868684 785078050 863585855 1381737368 1570156100 1727171710 3140312200 3454343420 4317929275 6908686840 8635858550 17271717100 34543434200