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340331403340350 = 232527572497140009
BaseRepresentation
bin100110101100001111001010…
…0011001101110101000111110
31122122000100211122201121100100
41031120132110121232220332
5324101442203223342400
63203454031024141530
7131454063303462342
oct11530362431565076
91578010748647310
10340331403340350
1199492812845234
123220660a4678a6
13117b9162841276
1460081b09dd622
152952c02b68100
hex135879466ea3e

340331403340350 has 144 divisors (see below), whose sum is σ = 915624456261840. Its totient is φ = 90629258227200.

The previous prime is 340331403340343. The next prime is 340331403340403. The reversal of 340331403340350 is 53043304133043.

340331403340350 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 314 + 0 + 334 + 0 + 3 + 5 + 0 = 666.

It is a super-2 number, since 2×3403314033403502 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8506351146 + ... + 8506391154.

It is an arithmetic number, because the mean of its divisors is an integer number (6358503168485).

Almost surely, 2340331403340350 is an apocalyptic number.

340331403340350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340331403340350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457812228130920).

340331403340350 is an abundant number, since it is smaller than the sum of its proper divisors (575293052921490).

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

340331403340350 is a wasteful number, since it uses less digits than its factorization.

340331403340350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65755 (or 65747 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 340331403340350 its reverse (53043304133043), we get a palindrome (393374707473393).

The spelling of 340331403340350 in words is "three hundred forty trillion, three hundred thirty-one billion, four hundred three million, three hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 757 1514 2271 3785 4542 6813 7570 11355 13626 18925 22710 24971 34065 37850 40009 49942 56775 68130 74913 80018 113550 120027 124855 149826 170325 200045 224739 240054 249710 340650 360081 374565 400090 449478 600135 624275 720162 749130 1000225 1123695 1200270 1248550 1800405 1872825 2000450 2247390 3000675 3600810 3745650 5618475 6001350 9002025 11236950 18004050 18903047 30286813 37806094 56709141 60573626 90860439 94515235 113418282 151434065 170127423 181720878 189030470 272581317 283545705 302868130 340254846 454302195 472576175 545162634 567091410 757170325 850637115 908604390 945152350 999064739 1362906585 1417728525 1514340650 1701274230 1998129478 2271510975 2725813170 2835457050 2997194217 4253185575 4543021950 4995323695 5994388434 6814532925 8506371150 8991582651 9990647390 13629065850 14985971085 17983165302 24976618475 29971942170 44957913255 49953236950 74929855425 89915826510 149859710850 224789566275 449579132550 756292007423 1512584014846 2268876022269 3781460037115 4537752044538 6806628066807 7562920074230 11344380111345 13613256133614 18907300185575 22688760222690 34033140334035 37814600371150 56721900556725 68066280668070 113443801113450 170165701670175 340331403340350