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343323334340 = 225721932776553
BaseRepresentation
bin1001111111011111010…
…10100101011011000100
31012211011210102102220122
410333233222211123010
521111111233144330
6421415350321112
733542605122500
oct4775752453304
91184153372818
10343323334340
1112266a087648
1256656359198
13264b557349c
141288cc41300
158de5d075e5
hex4fefaa56c4

343323334340 has 144 divisors (see below), whose sum is σ = 846207965232. Its totient is φ = 116660404224.

The previous prime is 343323334313. The next prime is 343323334379. The reversal of 343323334340 is 43433323343.

It can be written as a sum of positive squares in 8 ways, for example, as 69576723076 + 273746611264 = 263774^2 + 523208^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 343323334340.

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 47 ways as a sum of consecutive naturals, for example, 52388504 + ... + 52395056.

It is an arithmetic number, because the mean of its divisors is an integer number (5876444203).

Almost surely, 2343323334340 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 343323334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423103982616).

343323334340 is an abundant number, since it is smaller than the sum of its proper divisors (502884630892).

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

343323334340 is a wasteful number, since it uses less digits than its factorization.

343323334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 35.

Adding to 343323334340 its reverse (43433323343), we get a palindrome (386756657683).

The spelling of 343323334340 in words is "three hundred forty-three billion, three hundred twenty-three million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 193 196 245 277 386 490 554 772 965 980 1108 1351 1385 1930 1939 2702 2770 3860 3878 5404 5540 6553 6755 7756 9457 9695 13106 13510 13573 18914 19390 26212 27020 27146 32765 37828 38780 45871 47285 53461 54292 65530 67865 91742 94570 106922 131060 135730 183484 189140 213844 229355 267305 271460 321097 374227 458710 534610 642194 748454 917420 1069220 1264729 1284388 1496908 1605485 1815181 1871135 2529458 2619589 3210970 3630362 3742270 5058916 5239178 6323645 6421940 7260724 7484540 8853103 9075905 10478356 12647290 12706267 13097945 17706206 18151810 25294580 25412534 26195890 35412412 36303620 44265515 50825068 52391780 61971721 63531335 88531030 88943869 123943442 127062670 177062060 177887738 247886884 254125340 309858605 350329933 355775476 444719345 619717210 700659866 889438690 1239434420 1401319732 1751649665 1778877380 2452309531 3503299330 4904619062 7006598660 9809238124 12261547655 17166166717 24523095310 34332333434 49046190620 68664666868 85830833585 171661667170 343323334340