Search a number
-
+
334322212011420 = 223517849193859759
BaseRepresentation
bin100110000000100000111010…
…0101011111111110110011100
31121211201220001210002011111010
41030001001310223333312130
5322310013342233331140
63143013300503055220
7130263661035115623
oct11401016453776634
91554656053064433
10334322212011420
1197586287a11376
12315b5a74441510
13114715ac1c18c9
145c7b3d22326ba
15289b74bd0d880
hex1301074affd9c

334322212011420 has 96 divisors (see below), whose sum is σ = 991178957260800. Its totient is φ = 83907310040064.

The previous prime is 334322212011419. The next prime is 334322212011443. The reversal of 334322212011420 is 24110212223433.

It is a happy number.

It is a super-3 number, since 3×3343222120114203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84687501 + ... + 88547259.

It is an arithmetic number, because the mean of its divisors is an integer number (10324780804800).

Almost surely, 2334322212011420 is an apocalyptic number.

334322212011420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334322212011420 is an abundant number, since it is smaller than the sum of its proper divisors (656856745249380).

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

334322212011420 is a wasteful number, since it uses less digits than its factorization.

334322212011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944707 (or 3944705 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 334322212011420 its reverse (24110212223433), we get a palindrome (358432424234853).

The spelling of 334322212011420 in words is "three hundred thirty-four trillion, three hundred twenty-two billion, two hundred twelve million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 84919 169838 254757 339676 424595 509514 849190 1019028 1273785 1443623 1698380 2547570 2887246 3859759 4330869 5095140 5774492 7218115 7719518 8661738 11579277 14436230 15439036 17323476 19298795 21654345 23158554 28872460 38597590 43308690 46317108 57896385 65615903 77195180 86617380 115792770 131231806 196847709 231585540 262463612 328079515 393695418 656159030 787390836 984238545 1312318060 1968477090 3936954180 327766874521 655533749042 983300623563 1311067498084 1638834372605 1966601247126 3277668745210 3933202494252 4916503117815 5572036866857 6555337490420 9833006235630 11144073733714 16716110600571 19666012471260 22288147467428 27860184334285 33432221201142 55720368668570 66864442402284 83580553002855 111440737337140 167161106005710 334322212011420