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343255968 = 2535114013
BaseRepresentation
bin10100011101011…
…010101110100000
3212220220012200000
4110131122232200
51200333142333
654021100000
711335425156
oct2435325640
9786805600
10343255968
11166839320
1296b57600
1356164653
14338333d6
1520205713
hex1475aba0

343255968 has 144 divisors (see below), whose sum is σ = 1104588576. Its totient is φ = 103991040.

The previous prime is 343255921. The next prime is 343255973. The reversal of 343255968 is 869552343.

343255968 is a `hidden beast` number, since 3 + 4 + 32 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83530 + ... + 87542.

It is an arithmetic number, because the mean of its divisors is an integer number (7670754).

Almost surely, 2343255968 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 343255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552294288).

343255968 is an abundant number, since it is smaller than the sum of its proper divisors (761332608).

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

343255968 is a wasteful number, since it uses less digits than its factorization.

343255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4029 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 343255968 is about 18527.1683751187. The cubic root of 343255968 is about 700.1740845941.

The spelling of 343255968 in words is "three hundred forty-three million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4013 4752 5346 7128 7776 8026 9504 10692 12039 14256 16052 21384 24078 28512 32104 36117 42768 44143 48156 64208 72234 85536 88286 96312 108351 128416 132429 144468 176572 192624 216702 264858 288936 325053 353144 385248 397287 433404 529716 577872 650106 706288 794574 866808 975159 1059432 1155744 1191861 1300212 1412576 1589148 1733616 1950318 2118864 2383722 2600424 3178296 3467232 3575583 3900636 4237728 4767444 5200848 6356592 7151166 7801272 9534888 10401696 10726749 12713184 14302332 15602544 19069776 21453498 28604664 31205088 38139552 42906996 57209328 85813992 114418656 171627984 343255968