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3343065840 = 2432517326839
BaseRepresentation
bin1100011101000011…
…0010001011110000
322121222120100012100
43013100302023300
523321311101330
61311421300400
7145562406432
oct30720621360
98558510170
103343065840
111466089934
12793704700
134137b048a
14239dca652
1514875d060
hexc74322f0

3343065840 has 120 divisors (see below), whose sum is σ = 11292446880. Its totient is φ = 886298112.

The previous prime is 3343065821. The next prime is 3343065863. The reversal of 3343065840 is 485603433.

3343065840 is a `hidden beast` number, since 33 + 43 + 0 + 6 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33430658402 = 22352178421149811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3343065795 and 3343065804.

It is a congruent number.

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, 111141 + ... + 137979.

It is an arithmetic number, because the mean of its divisors is an integer number (94103724).

Almost surely, 23343065840 is an apocalyptic number.

3343065840 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 3343065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646223440).

3343065840 is an abundant number, since it is smaller than the sum of its proper divisors (7949381040).

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

3343065840 is a wasteful number, since it uses less digits than its factorization.

3343065840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27031 (or 27022 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3343065840 is about 57819.2514652343. The cubic root of 3343065840 is about 1495.2540129081.

The spelling of 3343065840 in words is "three billion, three hundred forty-three million, sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 173 180 240 346 360 519 692 720 865 1038 1384 1557 1730 2076 2595 2768 3114 3460 4152 5190 6228 6920 7785 8304 10380 12456 13840 15570 20760 24912 26839 31140 41520 53678 62280 80517 107356 124560 134195 161034 214712 241551 268390 322068 402585 429424 483102 536780 644136 805170 966204 1073560 1207755 1288272 1610340 1932408 2147120 2415510 3220680 3864816 4643147 4831020 6441360 9286294 9662040 13929441 18572588 19324080 23215735 27858882 37145176 41788323 46431470 55717764 69647205 74290352 83576646 92862940 111435528 139294410 167153292 185725880 208941615 222871056 278588820 334306584 371451760 417883230 557177640 668613168 835766460 1114355280 1671532920 3343065840