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344034034113 = 372111943260417
BaseRepresentation
bin1010000000110100000…
…01101100000111000001
31012220000022201201201110
411000122001230013001
521114040203042423
6422014055153533
733566325016500
oct5003201540701
91186008651643
10344034034113
111229a4274930
12568143758a9
132659988aab3
14129193a2837
158e383e0193
hex501a06c1c1

344034034113 has 96 divisors (see below), whose sum is σ = 627003210240. Its totient is φ = 165374576640.

The previous prime is 344034034103. The next prime is 344034034117. The reversal of 344034034113 is 311430430443.

It is not a de Polignac number, because 344034034113 - 212 = 344034030017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344034034117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1190881 + ... + 1451297.

It is an arithmetic number, because the mean of its divisors is an integer number (6531283440).

Almost surely, 2344034034113 is an apocalyptic number.

344034034113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

344034034113 is a deficient number, since it is larger than the sum of its proper divisors (282969176127).

344034034113 is a wasteful number, since it uses less digits than its factorization.

344034034113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260507 (or 260500 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 344034034113 its reverse (311430430443), we get a palindrome (655464464556).

The spelling of 344034034113 in words is "three hundred forty-four billion, thirty-four million, thirty-four thousand, one hundred thirteen".

Divisors: 1 3 7 11 19 21 33 43 49 57 77 129 133 147 209 231 301 399 473 539 627 817 903 931 1419 1463 1617 2107 2451 2793 3311 4389 5719 6321 8987 9933 10241 17157 23177 26961 30723 40033 62909 69531 120099 188727 260417 440363 781251 1321089 1822919 2864587 4947923 5468757 8593761 11197931 12760433 14843769 20052109 33593793 34635461 38281299 54427153 60156327 78385517 103906383 123177241 140364763 163281459 212760689 235156551 242448227 369531723 380990071 421094289 548698619 638282067 727344681 862240687 1142970213 1489324823 1646095857 2340367579 2586722061 2666930497 4467974469 6035684809 7021102737 8000791491 10425273761 16382573053 18107054427 31275821283 49147719159 114678011371 344034034113