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344032244313 = 319531497191063
BaseRepresentation
bin1010000000110011110…
…10110111001001011001
31012220000012100210120120
411000121322313021121
521114034223304223
6422013552543453
733566303553432
oct5003172671131
91186005323516
10344032244313
111229a326215a
1256813851b89
13265993b2244
1412919058489
158e38189be3
hex5019eb7259

344032244313 has 64 divisors (see below), whose sum is σ = 496419840000. Its totient is φ = 211259632896.

The previous prime is 344032244291. The next prime is 344032244327. The reversal of 344032244313 is 313442230443.

It is a happy number.

It is not a de Polignac number, because 344032244313 - 28 = 344032244057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344032240313) 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 63 ways as a sum of consecutive naturals, for example, 323642220 + ... + 323643282.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560000).

Almost surely, 2344032244313 is an apocalyptic number.

It is an amenable number.

344032244313 is a deficient number, since it is larger than the sum of its proper divisors (152387595687).

344032244313 is a wasteful number, since it uses less digits than its factorization.

344032244313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 344032244313 its reverse (313442230443), we get a palindrome (657474474756).

The spelling of 344032244313 in words is "three hundred forty-four billion, thirty-two million, two hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 19 53 57 149 159 447 719 1007 1063 2157 2831 3021 3189 7897 8493 13661 20197 23691 38107 40983 56339 60591 107131 114321 150043 158387 169017 321393 450129 475161 724033 764297 1070441 2035489 2172099 2292891 3009353 3211323 5677943 6106467 8394511 9028059 14521643 17033829 25183533 40507741 43564929 107880917 113880253 121523223 159495709 323642751 341640759 478487127 769647079 2163724807 2308941237 6035653409 6491174421 18106960227 114677414771 344032244313