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343112340 = 223529316361
BaseRepresentation
bin10100011100110…
…111101010010100
3212220121220122110
4110130313222110
51200314043330
654014031020
711334256344
oct2434675224
9786556573
10343112340
1116675041a
1296aa8470
135611416c
14337d6d24
15201c7db0
hex14737a94

343112340 has 96 divisors (see below), whose sum is σ = 1026063360. Its totient is φ = 85478400.

The previous prime is 343112327. The next prime is 343112347. The reversal of 343112340 is 43211343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343112347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50760 + ... + 57120.

It is an arithmetic number, because the mean of its divisors is an integer number (10688160).

Almost surely, 2343112340 is an apocalyptic number.

343112340 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 343112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513031680).

343112340 is an abundant number, since it is smaller than the sum of its proper divisors (682951020).

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

343112340 is a wasteful number, since it uses less digits than its factorization.

343112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 343112340 is about 18523.2918240792. The cubic root of 343112340 is about 700.0764134270.

Adding to 343112340 its reverse (43211343), we get a palindrome (386323683).

The spelling of 343112340 in words is "three hundred forty-three million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 3596 4495 5394 6361 8990 10788 12722 13485 17980 19083 25444 26970 31805 38166 53940 63610 76332 95415 127220 184469 190830 197191 368938 381660 394382 553407 591573 737876 788764 922345 985955 1106814 1183146 1844690 1971910 2213628 2366292 2767035 2957865 3689380 3943820 5534070 5718539 5915730 11068140 11437078 11831460 17155617 22874156 28592695 34311234 57185390 68622468 85778085 114370780 171556170 343112340