Search a number
-
+
344343322203114 = 231321756919328879
BaseRepresentation
bin100111001001011011010110…
…1011001101001001111101010
31200011012220022011212021021010
41032102312231121221033222
5330113210110440444424
63220205045520524350
7132346661346241503
oct11622665531511752
91604186264767233
10344343322203114
119a79a20140a903
1232754061a806b6
1311a1a588a33600
14610643cc79baa
1529c22601b8229
hex1392dad6693ea

344343322203114 has 48 divisors (see below), whose sum is σ = 745780093833600. Its totient is φ = 105945755355648.

The previous prime is 344343322203107. The next prime is 344343322203193. The reversal of 344343322203114 is 411302223343443.

It is a super-3 number, since 3×3443433222031143 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8150527 + ... + 27479405.

It is an arithmetic number, because the mean of its divisors is an integer number (15537085288200).

Almost surely, 2344343322203114 is an apocalyptic number.

344343322203114 is an abundant number, since it is smaller than the sum of its proper divisors (401436771630486).

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

344343322203114 is a wasteful number, since it uses less digits than its factorization.

344343322203114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19346479 (or 19346466 counting only the distinct ones).

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

Adding to 344343322203114 its reverse (411302223343443), we get a palindrome (755645545546557).

The spelling of 344343322203114 in words is "three hundred forty-four trillion, three hundred forty-three billion, three hundred twenty-two million, two hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 17569 35138 52707 105414 228397 456794 685191 1370382 2969161 5938322 8907483 17814966 19328879 38657758 57986637 115973274 251275427 502550854 753826281 1507652562 3266580551 6533161102 9799741653 19599483306 339589075151 679178150302 1018767225453 2037534450906 4414657976963 8829315953926 13243973930889 26487947861778 57390553700519 114781107401038 172171661101557 344343322203114