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340314343302320 = 24547404872235511
BaseRepresentation
bin100110101100000111001101…
…1100010110110010010110000
31122121221201210201020212201222
41031120032123202312102300
5324101202233341133240
63203442130120244212
7131452620450525212
oct11530163342662260
91577851721225658
10340314343302320
11994865588aa152
1232203249010668
13117b76742897ca
146007432d725b2
152952555081eb5
hex135839b8b64b0

340314343302320 has 80 divisors (see below), whose sum is σ = 808085867194368. Its totient is φ = 133226094769920.

The previous prime is 340314343302289. The next prime is 340314343302361. The reversal of 340314343302320 is 23203343413043.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151113365 + ... + 153348875.

Almost surely, 2340314343302320 is an apocalyptic number.

It is an amenable number.

340314343302320 is an abundant number, since it is smaller than the sum of its proper divisors (467771523892048).

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

340314343302320 is a wasteful number, since it uses less digits than its factorization.

340314343302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276058 (or 2276052 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 35.

Adding to 340314343302320 its reverse (23203343413043), we get a palindrome (363517686715363).

The spelling of 340314343302320 in words is "three hundred forty trillion, three hundred fourteen billion, three hundred forty-three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 40487 80974 161948 202435 323896 404870 647792 809740 1619480 1902889 2235511 3238960 3805778 4471022 7611556 8942044 9514445 11177555 15223112 17884088 19028890 22355110 30446224 35768176 38057780 44710220 76115560 89420440 105069017 152231120 178840880 210138034 420276068 525345085 840552136 1050690170 1681104272 2101380340 4202760680 8405521360 90509133857 181018267714 362036535428 452545669285 724073070856 905091338570 1448146141712 1810182677140 3620365354280 4253929291279 7240730708560 8507858582558 17015717165116 21269646456395 34031434330232 42539292912790 68062868660464 85078585825580 170157171651160 340314343302320