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3027724128 = 2532111373517
BaseRepresentation
bin1011010001110111…
…0110011101100000
321211000012022200200
42310131312131200
522200044133003
61220234345200
7135013142022
oct26435663540
97730168620
103027724128
111314086a50
12705b8b200
13393370650
1420a182012
1512ac1d6a3
hexb4776760

3027724128 has 144 divisors (see below), whose sum is σ = 10115488656. Its totient is φ = 846904320.

The previous prime is 3027724121. The next prime is 3027724153. The reversal of 3027724128 is 8214277203.

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

It is a super-2 number, since 2×30277241282 = 18334226790546720768, 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 = 3027724092 and 3027724101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3027724121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4426 + ... + 77942.

It is an arithmetic number, because the mean of its divisors is an integer number (70246449).

Almost surely, 23027724128 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 3027724128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057744328).

3027724128 is an abundant number, since it is smaller than the sum of its proper divisors (7087764528).

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

3027724128 is a wasteful number, since it uses less digits than its factorization.

3027724128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73557 (or 73546 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3027724128 is about 55024.7592270970. The cubic root of 3027724128 is about 1446.6787444986.

The spelling of 3027724128 in words is "three billion, twenty-seven million, seven hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 73517 147034 220551 294068 441102 588136 661653 808687 882204 955721 1176272 1323306 1617374 1764408 1911442 2352544 2426061 2646612 2867163 3234748 3528816 3822884 4852122 5293224 5734326 6469496 7057632 7278183 7645768 8601489 9704244 10512931 10586448 11468652 12938992 14556366 15291536 17202978 19408488 21025862 21172896 22937304 25877984 29112732 30583072 31538793 34405956 38816976 42051724 45874608 58225464 63077586 68811912 77633952 84103448 91749216 94616379 116450928 126155172 137623824 168206896 189232758 232901856 252310344 275247648 336413792 378465516 504620688 756931032 1009241376 1513862064 3027724128