Search a number
-
+
344210101000 = 235317199101747
BaseRepresentation
bin1010000001001001000…
…01010101001100001000
31012220110121000212002021
411000210201111030020
521114420241213000
6422043345014224
733603563404153
oct5004441251410
91186417025067
10344210101000
11122a846a0557
1256863324374
13265c71b569c
1412934914c9a
158e48abd11a
hex5024855308

344210101000 has 128 divisors (see below), whose sum is σ = 857125152000. Its totient is φ = 128932531200.

The previous prime is 344210100991. The next prime is 344210101003. The reversal of 344210101000 is 101012443.

It is not an unprimeable number, because it can be changed into a prime (344210101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3332127 + ... + 3433873.

It is an arithmetic number, because the mean of its divisors is an integer number (6696290250).

Almost surely, 2344210101000 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 344210101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428562576000).

344210101000 is an abundant number, since it is smaller than the sum of its proper divisors (512915051000).

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

344210101000 is a wasteful number, since it uses less digits than its factorization.

344210101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101984 (or 101970 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 344210101000 its reverse (101012443), we get a palindrome (344311113443).

The spelling of 344210101000 in words is "three hundred forty-four billion, two hundred ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 199 200 250 340 398 425 500 680 796 850 995 1000 1592 1700 1990 2125 3383 3400 3980 4250 4975 6766 7960 8500 9950 13532 16915 17000 19900 24875 27064 33830 39800 49750 67660 84575 99500 101747 135320 169150 199000 203494 338300 406988 422875 508735 676600 813976 845750 1017470 1691500 1729699 2034940 2543675 3383000 3459398 4069880 5087350 6918796 8648495 10174700 12718375 13837592 17296990 20247653 20349400 25436750 34593980 40495306 43242475 50873500 69187960 80990612 86484950 101238265 101747000 161981224 172969900 202476530 216212375 344210101 345939800 404953060 432424750 506191325 688420202 809906120 864849500 1012382650 1376840404 1721050505 1729699000 2024765300 2530956625 2753680808 3442101010 4049530600 5061913250 6884202020 8605252525 10123826500 13768404040 17210505050 20247653000 34421010100 43026262625 68842020200 86052525250 172105050500 344210101000