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343353043140 = 223523388963977
BaseRepresentation
bin1001111111100010110…
…11111010100011000100
31012211020212022210201120
410333301123322203010
521111141334340030
6421422331153540
733543415466202
oct4776133724304
91184225283646
10343353043140
11122684929278
12566642a58b0
13264bb775a63
1412892b76072
158de8725010
hex4ff16fa8c4

343353043140 has 96 divisors (see below), whose sum is σ = 1003461661440. Its totient is φ = 87556018176.

The previous prime is 343353043139. The next prime is 343353043151. The reversal of 343353043140 is 41340353343.

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, 5334832 + ... + 5398808.

It is an arithmetic number, because the mean of its divisors is an integer number (10452725640).

Almost surely, 2343353043140 is an apocalyptic number.

343353043140 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 343353043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501730830720).

343353043140 is an abundant number, since it is smaller than the sum of its proper divisors (660108618300).

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

343353043140 is a wasteful number, since it uses less digits than its factorization.

343353043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67901 (or 67899 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 343353043140 its reverse (41340353343), we get a palindrome (384693396483).

The spelling of 343353043140 in words is "three hundred forty-three billion, three hundred fifty-three million, forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3889 7778 11667 15556 19445 23334 38890 46668 58335 63977 77780 89447 116670 127954 178894 191931 233340 255908 268341 319885 357788 383862 447235 536682 639770 767724 894470 959655 1073364 1279540 1341705 1471471 1788940 1919310 2683410 2942942 3838620 4414413 5366820 5885884 7357355 8828826 14714710 17657652 22072065 29429420 44144130 88288260 248806553 497613106 746419659 995226212 1244032765 1492839318 2488065530 2985678636 3732098295 4976131060 5722550719 7464196590 11445101438 14928393180 17167652157 22890202876 28612753595 34335304314 57225507190 68670608628 85838260785 114451014380 171676521570 343353043140