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334111304340 = 2232511295818727
BaseRepresentation
bin1001101110010101001…
…01011110101010010100
31011221101210100211102100
410313022211132222110
520433224443214330
6413253312442100
733065406141252
oct4671245365224
91157353324370
10334111304340
11119772137110
1254905249330
1325677bb6368
14122575d55d2
158a571e7060
hex4dca95ea94

334111304340 has 144 divisors (see below), whose sum is σ = 1143729175680. Its totient is φ = 78203677440.

The previous prime is 334111304333. The next prime is 334111304377. The reversal of 334111304340 is 43403111433.

334111304340 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 11 + 304 + 340 = 666.

334111304340 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341113043402 (a number of 24 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 47 ways as a sum of consecutive naturals, for example, 2851944 + ... + 2966783.

It is an arithmetic number, because the mean of its divisors is an integer number (7942563720).

Almost surely, 2334111304340 is an apocalyptic number.

334111304340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334111304340 is an abundant number, since it is smaller than the sum of its proper divisors (809617871340).

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

334111304340 is a wasteful number, since it uses less digits than its factorization.

334111304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818782 (or 5818777 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 334111304340 its reverse (43403111433), we get a palindrome (377514415773).

The spelling of 334111304340 in words is "three hundred thirty-four billion, one hundred eleven million, three hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 5818727 11637454 17456181 23274908 29093635 34912362 52368543 58187270 64005997 69824724 87280905 104737086 116374540 128011994 168743083 174561810 192017991 209474172 256023988 261842715 320029985 337486166 349123620 384035982 506229249 523685430 576053973 640059970 674972332 768071964 843715415 960089955 1012458498 1047370860 1152107946 1280119940 1518687747 1687430830 1856173913 1920179910 2024916996 2304215892 2531146245 2880269865 3037375494 3374861660 3712347826 3840359820 5062292490 5568521739 5760539730 6074750988 7424695652 7593438735 9280869565 10124584980 11137043478 11521079460 15186877470 16705565217 18561739130 22274086956 27842608695 30373754940 33411130434 37123478260 55685217390 66822260868 83527826085 111370434780 167055652170 334111304340