Search a number
-
+
334440143344 = 24297910978317
BaseRepresentation
bin1001101110111100010…
…11111001100111110000
31011222020201010120201201
410313132023321213300
520434413134041334
6413350100540544
733106511212456
oct4673613714760
91158221116651
10334440143344
1111992081878a
12549973b1754
13256cb070858
14122891549d6
158a76000c14
hex4dde2f99f0

334440143344 has 80 divisors (see below), whose sum is σ = 679507401600. Its totient is φ = 159245678592.

The previous prime is 334440143329. The next prime is 334440143369. The reversal of 334440143344 is 443341044433.

It is a happy number.

It is a super-2 number, since 2×3344401433442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40207474 + ... + 40215790.

It is an arithmetic number, because the mean of its divisors is an integer number (8493842520).

Almost surely, 2334440143344 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 334440143344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339753700800).

334440143344 is an abundant number, since it is smaller than the sum of its proper divisors (345067258256).

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

334440143344 is a wasteful number, since it uses less digits than its factorization.

334440143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 334440143344 its reverse (443341044433), we get a palindrome (777781187777).

The spelling of 334440143344 in words is "three hundred thirty-four billion, four hundred forty million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 58 79 116 158 232 316 464 632 1097 1264 2194 2291 4388 4582 8317 8776 9164 16634 17552 18328 31813 33268 36656 63626 66536 86663 127252 133072 173326 241193 254504 346652 482386 509008 657043 693304 964772 1314086 1386608 1929544 2513227 2628172 3859088 5026454 5256344 9123749 10052908 10512688 18247498 19054247 20105816 36494996 38108494 40211632 72989992 76216988 145979984 152433976 264588721 304867952 529177442 720776171 1058354884 1441552342 2116709768 2883104684 4233419536 5766209368 11532418736 20902508959 41805017918 83610035836 167220071672 334440143344