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340443043320 = 233523912799281
BaseRepresentation
bin1001111010000111111…
…11001001010111111000
31012112202001122111102110
410331003333021113320
521034211404341240
6420221455532320
733411332056542
oct4750377112770
91175661574373
10340443043320
1112142124a346
1255b9182a0a0
1326146913583
14126984ba692
158cc800cc80
hex4f43fc95f8

340443043320 has 128 divisors (see below), whose sum is σ = 1026514944000. Its totient is φ = 90324541440.

The previous prime is 340443043249. The next prime is 340443043333. The reversal of 340443043320 is 23340344043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 36677080 + ... + 36686360.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648000).

Almost surely, 2340443043320 is an apocalyptic number.

340443043320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340443043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513257472000).

340443043320 is an abundant number, since it is smaller than the sum of its proper divisors (686071900680).

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

340443043320 is a wasteful number, since it uses less digits than its factorization.

340443043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 340443043320 its reverse (23340344043), we get a palindrome (363783387363).

The spelling of 340443043320 in words is "three hundred forty billion, four hundred forty-three million, forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1279 1434 1912 2390 2558 2868 3585 3837 4780 5116 5736 6395 7170 7674 9281 9560 10232 12790 14340 15348 18562 19185 25580 27843 28680 30696 37124 38370 46405 51160 55686 74248 76740 92810 111372 139215 153480 185620 222744 278430 305681 371240 556860 611362 917043 1113720 1222724 1528405 1834086 2218159 2445448 3056810 3668172 4436318 4585215 6113620 6654477 7336344 8872636 9170430 11090795 11870399 12227240 13308954 17745272 18340860 22181590 23740798 26617908 33272385 35611197 36681720 44363180 47481596 53235816 59351995 66544770 71222394 88726360 94963192 118703990 133089540 142444788 178055985 237407980 266179080 284889576 356111970 474815960 712223940 1424447880 2837025361 5674050722 8511076083 11348101444 14185126805 17022152166 22696202888 28370253610 34044304332 42555380415 56740507220 68088608664 85110760830 113481014440 170221521660 340443043320