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344434333243 = 721113471935419
BaseRepresentation
bin1010000001100011110…
…00101101011000111011
31012221001012222000220011
411000301320231120323
521120400142130433
6422121515042351
733612255345400
oct5006170553073
91187035860804
10344434333243
1112308a224560
12569064403b7
13266317a55a0
14129566042a7
158e5d6123cd
hex5031e2d63b

344434333243 has 96 divisors (see below), whose sum is σ = 483310679040. Its totient is φ = 241172951040.

The previous prime is 344434333157. The next prime is 344434333249. The reversal of 344434333243 is 342333434443.

It is a de Polignac number, because none of the positive numbers 2k-344434333243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344434333196 and 344434333205.

It is not an unprimeable number, because it can be changed into a prime (344434333249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63557788 + ... + 63563206.

It is an arithmetic number, because the mean of its divisors is an integer number (5034486240).

Almost surely, 2344434333243 is an apocalyptic number.

344434333243 is a deficient number, since it is larger than the sum of its proper divisors (138876345797).

344434333243 is a wasteful number, since it uses less digits than its factorization.

344434333243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5690 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 40.

Adding to 344434333243 its reverse (342333434443), we get a palindrome (686767767686).

The spelling of 344434333243 in words is "three hundred forty-four billion, four hundred thirty-four million, three hundred thirty-three thousand, two hundred forty-three".

Divisors: 1 7 11 13 47 49 77 91 143 193 329 517 539 611 637 1001 1351 2123 2303 2509 3619 4277 5419 6721 7007 9071 9457 14861 17563 25333 27599 29939 37933 47047 59609 63497 70447 99781 104027 117923 122941 193193 254693 265531 329329 417263 444479 493129 698467 774917 825461 1045867 1297153 1352351 1782851 2801623 2920841 3311009 3451903 4889269 5424419 5778227 7321069 9080071 11504537 12479957 13596271 19611361 23177063 36421099 37970933 49155749 51247483 63560497 80531759 95173897 137279527 149558981 162239441 254947693 344090243 540713239 563722313 639024737 666217279 1046912867 1784633851 2408631701 3784992673 4473173159 7029272107 7328390069 26494948711 31312212113 49204904749 344434333243