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3342312144340 = 22513257159731321
BaseRepresentation
bin110000101000110001010…
…100111111110111010100
3102211112002110221221110021
4300220301110333313110
5414230023402104330
611035234220434524
7463321416322021
oct60506124776724
912745073857407
103342312144340
111079515087304
1245b9196a8a44
131b3242748ac0
14b7aa9716548
155be1b8a967a
hex30a3153fdd4

3342312144340 has 96 divisors (see below), whose sum is σ = 7593172955424. Its totient is φ = 1228473630720.

The previous prime is 3342312144331. The next prime is 3342312144491. The reversal of 3342312144340 is 434412132433.

It can be written as a sum of positive squares in 16 ways, for example, as 676322022544 + 2665990121796 = 822388^2 + 1632786^2 .

It is a super-2 number, since 2×33423121443402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342312144296 and 3342312144305.

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, 106695880 + ... + 106727200.

It is an arithmetic number, because the mean of its divisors is an integer number (79095551619).

Almost surely, 23342312144340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342312144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796586477712).

3342312144340 is an abundant number, since it is smaller than the sum of its proper divisors (4250860811084).

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

3342312144340 is a wasteful number, since it uses less digits than its factorization.

3342312144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33197 (or 33195 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 3342312144340 its reverse (434412132433), we get a palindrome (3776724276773).

The spelling of 3342312144340 in words is "three trillion, three hundred forty-two billion, three hundred twelve million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 1028 1285 1597 2570 3194 3341 5140 6388 6682 7985 13364 15970 16705 20761 31321 31940 33410 41522 62642 66820 83044 103805 125284 156605 207610 313210 407173 410429 415220 626420 814346 820858 1628692 1641716 2035865 2052145 4071730 4104290 5335577 8049497 8143460 8208580 10671154 16098994 21342308 26677885 32197988 40247485 50019637 53355770 80494970 100039274 104643461 106711540 160989940 200078548 209286922 250098185 418573844 500196370 523217305 650255281 1000392740 1046434610 1300510562 2092869220 2601021124 3251276405 6502552810 12855046709 13005105620 25710093418 51420186836 64275233545 128550467090 167115607217 257100934180 334231214434 668462428868 835578036085 1671156072170 3342312144340