Search a number
-
+
343444021133430 = 235775711091948091
BaseRepresentation
bin100111000010111000100101…
…0111000010100000001110110
31200001000221001100020112011210
41032011301022320110001312
5330003441323402232210
63214240001041542250
7132225004003255620
oct11605611270240166
91601027040215153
10343444021133430
119a4828783a9778
1232629903944986
131198382b000a49
1460b4aca62dc10
1529a8b791ebe20
hex1385c4ae14076

343444021133430 has 128 divisors (see below), whose sum is σ = 944113332648960. Its totient is φ = 78327057231360.

The previous prime is 343444021133363. The next prime is 343444021133501. The reversal of 343444021133430 is 34331120444343.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175323685 + ... + 177271775.

It is an arithmetic number, because the mean of its divisors is an integer number (7375885411320).

Almost surely, 2343444021133430 is an apocalyptic number.

343444021133430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

343444021133430 is an abundant number, since it is smaller than the sum of its proper divisors (600669311515530).

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

343444021133430 is a wasteful number, since it uses less digits than its factorization.

343444021133430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949974.

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 343444021133430 its reverse (34331120444343), we get a palindrome (377775141577773).

The spelling of 343444021133430 in words is "three hundred forty-three trillion, four hundred forty-four billion, twenty-one million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 757 1109 1514 2218 2271 3327 3785 4542 5299 5545 6654 7570 7763 10598 11090 11355 15526 15897 16635 22710 23289 26495 31794 33270 38815 46578 52990 77630 79485 116445 158970 232890 839513 1679026 1948091 2518539 3896182 4197565 5037078 5844273 5876591 8395130 9740455 11688546 11753182 12592695 13636637 17629773 19480910 25185390 27273274 29221365 29382955 35259546 40909911 58442730 58765910 68183185 81819822 88148865 136366370 176297730 204549555 409099110 1474704887 2160432919 2949409774 4320865838 4424114661 6481298757 7373524435 8848229322 10322934209 10802164595 12962597514 14747048870 15123030433 20645868418 21604329190 22120573305 30246060866 30968802627 32406493785 44241146610 45369091299 51614671045 61937605254 64812987570 75615152165 90738182598 103229342090 151230304330 154844013135 226845456495 309688026270 453690912990 1635447719683 3270895439366 4906343159049 8177238598415 9812686318098 11448134037781 16354477196830 22896268075562 24531715795245 34344402113343 49063431590490 57240670188905 68688804226686 114481340377810 171722010566715 343444021133430