Search a number
-
+
343160340 = 2235109137383
BaseRepresentation
bin10100011101000…
…011011000010100
3212220201100111020
4110131003120110
51200322112330
654015041140
711334546315
oct2435033024
9786640436
10343160340
11166783496
1296b101b0
135612cc73
143380a60c
15201d7210
hex14743614

343160340 has 96 divisors (see below), whose sum is σ = 979292160. Its totient is φ = 89773056.

The previous prime is 343160309. The next prime is 343160353. The reversal of 343160340 is 43061343.

343160340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 343160340.

It is a congruent number.

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, 895789 + ... + 896171.

It is an arithmetic number, because the mean of its divisors is an integer number (10200960).

Almost surely, 2343160340 is an apocalyptic number.

343160340 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 343160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489646080).

343160340 is an abundant number, since it is smaller than the sum of its proper divisors (636131820).

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

343160340 is a wasteful number, since it uses less digits than its factorization.

343160340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 343160340 is about 18524.5874447989. The cubic root of 343160340 is about 700.1090578382.

The spelling of 343160340 in words is "three hundred forty-three million, one hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 137 218 274 327 383 411 436 545 548 654 685 766 822 1090 1149 1308 1370 1532 1635 1644 1915 2055 2180 2298 2740 3270 3830 4110 4596 5745 6540 7660 8220 11490 14933 22980 29866 41747 44799 52471 59732 74665 83494 89598 104942 125241 149330 157413 166988 179196 208735 209884 223995 250482 262355 298660 314826 417470 447990 500964 524710 626205 629652 787065 834940 895980 1049420 1252410 1574130 2504820 3148260 5719339 11438678 17158017 22877356 28596695 34316034 57193390 68632068 85790085 114386780 171580170 343160340