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2440143684 = 2233116173329
BaseRepresentation
bin1001000101110001…
…1010001101000100
320022001120010212000
42101130122031010
514444134044214
61042044425300
7114316610346
oct22134321504
96261503760
102440143684
111042441080
12581248230
132cb702a04
1419210d296
15e4355809
hex9171a344

2440143684 has 96 divisors (see below), whose sum is σ = 6914678400. Its totient is φ = 738017280.

The previous prime is 2440143679. The next prime is 2440143709. The reversal of 2440143684 is 4863410442.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731332 + ... + 734660.

It is an arithmetic number, because the mean of its divisors is an integer number (72027900).

Almost surely, 22440143684 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 2440143684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457339200).

2440143684 is an abundant number, since it is smaller than the sum of its proper divisors (4474534716).

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

2440143684 is a wasteful number, since it uses less digits than its factorization.

2440143684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2440143684 is about 49397.8105182811. The cubic root of 2440143684 is about 1346.2895246812.

The spelling of 2440143684 in words is "two billion, four hundred forty million, one hundred forty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 617 1188 1234 1851 2468 3329 3702 5553 6658 6787 7404 9987 11106 13316 13574 16659 19974 20361 22212 27148 29961 33318 36619 39948 40722 59922 61083 66636 73238 81444 89883 109857 119844 122166 146476 179766 183249 219714 244332 329571 359532 366498 439428 659142 732996 988713 1318284 1977426 2053993 3954852 4107986 6161979 8215972 12323958 18485937 22593923 24647916 36971874 45187846 55457811 67781769 73943748 90375692 110915622 135563538 203345307 221831244 271127076 406690614 610035921 813381228 1220071842 2440143684