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4293334680 = 2335411515779
BaseRepresentation
bin1111111111100111…
…0001011010011000
3102002012122222222120
43333321301122120
532243043202210
61550005021240
7211251512505
oct37771613230
912065588876
104293334680
111903525988
129b99b4820
1353562772b
142ca2b04ac
151a1db9270
hexffe71698

4293334680 has 128 divisors (see below), whose sum is σ = 13283827200. Its totient is φ = 1109376000.

The previous prime is 4293334679. The next prime is 4293334681. The reversal of 4293334680 is 864333924.

It is an interprime number because it is at equal distance from previous prime (4293334679) and next prime (4293334681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4293334681) 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, 740031 + ... + 745809.

It is an arithmetic number, because the mean of its divisors is an integer number (103779900).

Almost surely, 24293334680 is an apocalyptic number.

4293334680 is a gapful number since it is divisible by the number (40) 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 4293334680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641913600).

4293334680 is an abundant number, since it is smaller than the sum of its proper divisors (8990492520).

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

4293334680 is a wasteful number, since it uses less digits than its factorization.

4293334680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 4293334680 is about 65523.5429445020. The cubic root of 4293334680 is about 1625.2926879498.

The spelling of 4293334680 in words is "four billion, two hundred ninety-three million, three hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 151 164 205 246 302 328 410 453 492 604 615 755 820 906 984 1208 1230 1510 1640 1812 2265 2460 3020 3624 4530 4920 5779 6040 6191 9060 11558 12382 17337 18120 18573 23116 24764 28895 30955 34674 37146 46232 49528 57790 61910 69348 74292 86685 92865 115580 123820 138696 148584 173370 185730 231160 236939 247640 346740 371460 473878 693480 710817 742920 872629 947756 1184695 1421634 1745258 1895512 2369390 2617887 2843268 3490516 3554085 4363145 4738780 5235774 5686536 6981032 7108170 8726290 9477560 10471548 13089435 14216340 17452580 20943096 26178870 28432680 34905160 35777789 52357740 71555578 104715480 107333367 143111156 178888945 214666734 286222312 357777890 429333468 536666835 715555780 858666936 1073333670 1431111560 2146667340 4293334680