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343110422000 = 24531717956377
BaseRepresentation
bin1001111111000101111…
…10011000110111110000
31012210121221210101002102
410333202332120313300
521110142232001000
6421342303035532
733534411316013
oct4774276306760
91183557711072
10343110422000
1112256a985435
12565b6b9bba8
1326480417b58
141286c85b37a
158dd229c3d5
hex4fe2f98df0

343110422000 has 160 divisors (see below), whose sum is σ = 883366585920. Its totient is φ = 128447078400.

The previous prime is 343110421987. The next prime is 343110422047. The reversal of 343110422000 is 224011343.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6057812 + ... + 6114188.

It is an arithmetic number, because the mean of its divisors is an integer number (5521041162).

Almost surely, 2343110422000 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 343110422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441683292960).

343110422000 is an abundant number, since it is smaller than the sum of its proper divisors (540256163920).

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

343110422000 is a wasteful number, since it uses less digits than its factorization.

343110422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56596 (or 56580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 343110422000 its reverse (224011343), we get a palindrome (343334433343).

The spelling of 343110422000 in words is "three hundred forty-three billion, one hundred ten million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 179 200 250 272 340 358 400 425 500 680 716 850 895 1000 1360 1432 1700 1790 2000 2125 2864 3043 3400 3580 4250 4475 6086 6800 7160 8500 8950 12172 14320 15215 17000 17900 22375 24344 30430 34000 35800 44750 48688 56377 60860 71600 76075 89500 112754 121720 152150 179000 225508 243440 281885 304300 358000 380375 451016 563770 608600 760750 902032 958409 1127540 1217200 1409425 1521500 1916818 2255080 2818850 3043000 3833636 4510160 4792045 5637700 6086000 7047125 7667272 9584090 10091483 11275400 14094250 15334544 19168180 20182966 22550800 23960225 28188500 38336360 40365932 47920450 50457415 56377000 76672720 80731864 95840900 100914830 112754000 119801125 161463728 171555211 191681800 201829660 239602250 252287075 343110422 383363600 403659320 479204500 504574150 686220844 807318640 857776055 958409000 1009148300 1261435375 1372441688 1715552110 1916818000 2018296600 2522870750 2744883376 3431104220 4036593200 4288880275 5045741500 6862208440 8577760550 10091483000 13724416880 17155521100 20182966000 21444401375 34311042200 42888802750 68622084400 85777605500 171555211000 343110422000