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3342434231340 = 223551036677123
BaseRepresentation
bin110000101000111000100…
…110101110010000101100
3102211112101222200121100000
4300220320212232100230
5414230301130400330
611035254301304300
7463324431124551
oct60507046562054
912745358617300
103342434231340
111079577a94056
1245b952565090
131b3261b23929
14b7abba16a28
155be27473560
hex30a389ae42c

3342434231340 has 144 divisors (see below), whose sum is σ = 10616306658048. Its totient is φ = 882662111424.

The previous prime is 3342434231317. The next prime is 3342434231351. The reversal of 3342434231340 is 431324342433.

3342434231340 is a `hidden beast` number, since 3 + 3 + 4 + 243 + 42 + 31 + 340 = 666.

It is a super-2 number, since 2×33424342313402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3342434231295 and 3342434231304.

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, 2837982 + ... + 3839141.

It is an arithmetic number, because the mean of its divisors is an integer number (73724351792).

Almost surely, 23342434231340 is an apocalyptic number.

3342434231340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342434231340 is an abundant number, since it is smaller than the sum of its proper divisors (7273872426708).

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

3342434231340 is a wasteful number, since it uses less digits than its factorization.

3342434231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677250 (or 6677236 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 3342434231340 its reverse (431324342433), we get a palindrome (3773758573773).

The spelling of 3342434231340 in words is "three trillion, three hundred forty-two billion, four hundred thirty-four million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 243 270 309 324 405 412 486 515 540 618 810 927 972 1030 1215 1236 1545 1620 1854 2060 2430 2781 3090 3708 4635 4860 5562 6180 8343 9270 11124 13905 16686 18540 25029 27810 33372 41715 50058 55620 83430 100116 125145 166860 250290 500580 6677123 13354246 20031369 26708492 33385615 40062738 60094107 66771230 80125476 100156845 120188214 133542460 180282321 200313690 240376428 300470535 360564642 400627380 540846963 600941070 687743669 721129284 901411605 1081693926 1201882140 1375487338 1622540889 1802823210 2063231007 2163387852 2704234815 2750974676 3245081778 3438718345 3605646420 4126462014 5408469630 6189693021 6490163556 6877436690 8112704445 8252924028 10316155035 10816939260 12379386042 13754873380 16225408890 18569079063 20632310070 24758772084 30948465105 32450817780 37138158126 41264620140 55707237189 61896930210 74276316252 92845395315 111414474378 123793860420 167121711567 185690790630 222828948756 278536185945 334243423134 371381581260 557072371890 668486846268 835608557835 1114144743780 1671217115670 3342434231340