Search a number
-
+
34022332410 = 235111096431471
BaseRepresentation
bin11111101011111000…
…111001011111111010
310020211002000120010120
4133223320321133322
51024134204114120
623344000354110
72313051024333
oct375370713772
9106732016116
1034022332410
11134797a09a0
126716015936
133292805751
14190a73328a
15d41d11140
hex7ebe397fa

34022332410 has 128 divisors (see below), whose sum is σ = 90094878720. Its totient is φ = 8153913600.

The previous prime is 34022332369. The next prime is 34022332417. The reversal of 34022332410 is 1423322043.

It is not an unprimeable number, because it can be changed into a prime (34022332417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23127975 + ... + 23129445.

It is an arithmetic number, because the mean of its divisors is an integer number (703866240).

Almost surely, 234022332410 is an apocalyptic number.

34022332410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022332410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45047439360).

34022332410 is an abundant number, since it is smaller than the sum of its proper divisors (56072546310).

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

34022332410 is a wasteful number, since it uses less digits than its factorization.

34022332410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34022332410 its reverse (1423322043), we get a palindrome (35445654453).

The spelling of 34022332410 in words is "thirty-four billion, twenty-two million, three hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 643 654 1090 1199 1286 1471 1635 1929 2398 2942 3215 3270 3597 3858 4413 5995 6430 7073 7194 7355 8826 9645 11990 14146 14710 16181 17985 19290 21219 22065 32362 35365 35970 42438 44130 48543 70087 70730 80905 97086 106095 140174 160339 161810 210261 212190 242715 320678 350435 420522 481017 485430 700870 770957 801695 945853 962034 1051305 1541914 1603390 1763729 1891706 2102610 2312871 2405085 2837559 3527458 3854785 4625742 4729265 4810170 5291187 5675118 7709570 8818645 9458530 10404383 10582374 11564355 14187795 17637290 20808766 23128710 26455935 28375590 31213149 52021915 52911870 62426298 103097977 104043830 156065745 206195954 309293931 312131490 515489885 618587862 1030979770 1134077747 1546469655 2268155494 3092939310 3402233241 5670388735 6804466482 11340777470 17011166205 34022332410