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340423003110320 = 245131493496294683
BaseRepresentation
bin100110101100111001110100…
…0001011000111101110110000
31122122100010021101212001022022
41031121303220023013232300
5324104442302244012240
63204004100233131012
7131463515236620314
oct11531635013075660
91578303241761268
10340423003110320
11995186484a0169
1232220312b59a68
13117c499cc186a0
14600c7c0171b44
1529552b469a9b5
hex1359ce82c7bb0

340423003110320 has 160 divisors (see below), whose sum is σ = 860546249640000. Its totient is φ = 124493299863552.

The previous prime is 340423003110269. The next prime is 340423003110431. The reversal of 340423003110320 is 23011300324043.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 340423003110320.

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, 50933699 + ... + 57228381.

It is an arithmetic number, because the mean of its divisors is an integer number (5378414060250).

Almost surely, 2340423003110320 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 340423003110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430273124820000).

340423003110320 is an abundant number, since it is smaller than the sum of its proper divisors (520123246529680).

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

340423003110320 is a wasteful number, since it uses less digits than its factorization.

340423003110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295207 (or 6295201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 340423003110320 its reverse (23011300324043), we get a palindrome (363434303434363).

The spelling of 340423003110320 in words is "three hundred forty trillion, four hundred twenty-three billion, three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 149 208 260 298 349 520 596 698 745 1040 1192 1396 1490 1745 1937 2384 2792 2980 3490 3874 4537 5584 5960 6980 7748 9074 9685 11920 13960 15496 18148 19370 22685 27920 30992 36296 38740 45370 52001 72592 77480 90740 104002 154960 181480 208004 260005 362960 416008 520010 676013 832016 1040020 1352026 2080040 2704052 3380065 4160080 5408104 6294683 6760130 10816208 12589366 13520260 25178732 27040520 31473415 50357464 54081040 62946830 81830879 100714928 125893660 163661758 251787320 327323516 409154395 503574640 654647032 818308790 937907767 1309294064 1636617580 1875815534 2196844367 3273235160 3751631068 4393688734 4689538835 6546470320 7503262136 8787377468 9379077670 10984221835 12192800971 15006524272 17574754936 18758155340 21968443670 24385601942 28558976771 35149509872 37516310680 43936887340 48771203884 57117953542 60964004855 75032621360 87873774680 97542407768 114235907084 121928009710 142794883855 175747549360 195084815536 228471814168 243856019420 285589767710 327329810683 456943628336 487712038840 571179535420 654659621366 975424077680 1142359070840 1309319242732 1636649053415 2284718141680 2618638485464 3273298106830 4255287538879 5237276970928 6546596213660 8510575077758 13093192427320 17021150155516 21276437694395 26186384854640 34042300311032 42552875388790 68084600622064 85105750777580 170211501555160 340423003110320