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340313304320 = 2851164737357
BaseRepresentation
bin1001111001111000100…
…00001110110100000000
31012112102000112001222022
410330330100032310000
521033430201214240
6420200543101012
733405165233663
oct4747420166400
91175360461868
10340313304320
11121364a96530
1255b562a1768
1326125a89832
14126851876da
158cbb9319b5
hex4f3c40ed00

340313304320 has 144 divisors (see below), whose sum is σ = 890660147328. Its totient is φ = 123555717120.

The previous prime is 340313304299. The next prime is 340313304343. The reversal of 340313304320 is 23403313043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 340313304320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9091082 + ... + 9128438.

It is an arithmetic number, because the mean of its divisors is an integer number (6185139912).

Almost surely, 2340313304320 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 340313304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445330073664).

340313304320 is an abundant number, since it is smaller than the sum of its proper divisors (550346843008).

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

340313304320 is a wasteful number, since it uses less digits than its factorization.

340313304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38036 (or 38022 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 340313304320 its reverse (23403313043), we get a palindrome (363716617363).

The spelling of 340313304320 in words is "three hundred forty billion, three hundred thirteen million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 647 704 880 1280 1294 1408 1760 2588 2816 3235 3520 5176 6470 7040 7117 10352 12940 14080 14234 20704 25880 28468 35585 37357 41408 51760 56936 71170 74714 82816 103520 113872 142340 149428 165632 186785 207040 227744 284680 298856 373570 410927 414080 455488 569360 597712 747140 821854 828160 910976 1138720 1195424 1494280 1643708 1821952 2054635 2277440 2390848 2988560 3287416 4109270 4554880 4781696 5977120 6574832 8218540 9109760 9563392 11954240 13149664 16437080 23908480 24169979 26299328 32874160 47816960 48339958 52598656 65748320 96679916 105197312 120849895 131496640 193359832 241699790 262993280 265869769 386719664 483399580 525986560 531739538 773439328 966799160 1063479076 1329348845 1546878656 1933598320 2126958152 2658697690 3093757312 3867196640 4253916304 5317395380 6187514624 7734393280 8507832608 10634790760 15468786560 17015665216 21269581520 30937573120 34031330432 42539163040 68062660864 85078326080 170156652160 340313304320