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343334340 = 2232523127653
BaseRepresentation
bin10100011101101…
…101110111000100
3212221001012011200
4110131231313010
51200343144330
654022502500
711336202516
oct2435556704
9787035150
10343334340
11166892198
1296b94a30
135619121b
1433853bb6
152021da60
hex1476ddc4

343334340 has 144 divisors (see below), whose sum is σ = 1096962048. Its totient is φ = 86752512.

The previous prime is 343334281. The next prime is 343334357. The reversal of 343334340 is 43433343.

343334340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525454 + ... + 526106.

It is an arithmetic number, because the mean of its divisors is an integer number (7617792).

Almost surely, 2343334340 is an apocalyptic number.

343334340 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 343334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548481024).

343334340 is an abundant number, since it is smaller than the sum of its proper divisors (753627708).

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

343334340 is a wasteful number, since it uses less digits than its factorization.

343334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 343334340 is about 18529.2833104791. The cubic root of 343334340 is about 700.2273683169.

Adding to 343334340 its reverse (43433343), we get a palindrome (386767683).

It can be divided in two parts, 3433 and 34340, that added together give a palindrome (37773).

The spelling of 343334340 in words is "three hundred forty-three million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 127 138 180 207 230 254 276 345 381 414 460 508 635 653 690 762 828 1035 1143 1270 1306 1380 1524 1905 1959 2070 2286 2540 2612 2921 3265 3810 3918 4140 4572 5715 5842 5877 6530 7620 7836 8763 9795 11430 11684 11754 13060 14605 15019 17526 19590 22860 23508 26289 29210 29385 30038 35052 39180 43815 45057 52578 58420 58770 60076 75095 82931 87630 90114 105156 117540 131445 135171 150190 165862 175260 180228 225285 248793 262890 270342 300380 331724 414655 450570 497586 525780 540684 675855 746379 829310 901140 995172 1243965 1351710 1492758 1658620 1907413 2487930 2703420 2985516 3731895 3814826 4975860 5722239 7463790 7629652 9537065 11444478 14927580 17166717 19074130 22888956 28611195 34333434 38148260 57222390 68666868 85833585 114444780 171667170 343334340