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343223300001340 = 225115346163852409
BaseRepresentation
bin100111000001010001110011…
…0111000000000111000111100
31200000020211022220111021011201
41032002203212320000320330
5324441332304300020330
63213550335102025244
7132203031222511033
oct11602434670007074
91600224286437151
10343223300001340
119a3a8203046320
12325b2b84878224
1311968a83aa9085
1460a814c58b71a
1529a305ba62eca
hex13828e6e00e3c

343223300001340 has 96 divisors (see below), whose sum is σ = 802866922038720. Its totient is φ = 122187967948800.

The previous prime is 343223300001313. The next prime is 343223300001367. The reversal of 343223300001340 is 43100003322343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (343223300001313) and next prime (343223300001367).

It is a junction number, because it is equal to n+sod(n) for n = 343223300001299 and 343223300001308.

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, 26550945 + ... + 37301464.

It is an arithmetic number, because the mean of its divisors is an integer number (8363197104570).

Almost surely, 2343223300001340 is an apocalyptic number.

It is an amenable number.

343223300001340 is an abundant number, since it is smaller than the sum of its proper divisors (459643622037380).

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

343223300001340 is a wasteful number, since it uses less digits than its factorization.

343223300001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63852943 (or 63852941 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 343223300001340 its reverse (43100003322343), we get a palindrome (386323303323683).

The spelling of 343223300001340 in words is "three hundred forty-three trillion, two hundred twenty-three billion, three hundred million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 461 530 583 922 1060 1166 1844 2305 2332 2915 4610 5071 5830 9220 10142 11660 20284 24433 25355 48866 50710 97732 101420 122165 244330 268763 488660 537526 1075052 1343815 2687630 5375260 63852409 127704818 255409636 319262045 638524090 702376499 1277048180 1404752998 2809505996 3384177677 3511882495 6768355354 7023764990 13536710708 14047529980 16920888385 29435960549 33841776770 37225954447 58871921098 67683553540 74451908894 117743842196 147179802745 148903817788 186129772235 294359605490 323795566039 372259544470 588719210980 647591132078 744519088940 1295182264156 1560105909097 1618977830195 3120211818194 3237955660390 6240423636388 6475911320780 7800529545485 15601059090970 17161165000067 31202118181940 34322330000134 68644660000268 85805825000335 171611650000670 343223300001340