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2384885468 = 227237476997
BaseRepresentation
bin1000111000100110…
…0111011011011100
320011012120201211102
42032021213123130
514341012313333
61032352212232
7113046122600
oct21611473334
96135521742
102384885468
111014229829
1256683a078
132c0126144
14188a47500
15de58cae8
hex8e2676dc

2384885468 has 72 divisors (see below), whose sum is σ = 5092976448. Its totient is φ = 973171584.

The previous prime is 2384885429. The next prime is 2384885473. The reversal of 2384885468 is 8645884832.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 337346 + ... + 344342.

It is an arithmetic number, because the mean of its divisors is an integer number (70735784).

Almost surely, 22384885468 is an apocalyptic number.

2384885468 is a gapful number since it is divisible by the number (28) 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 2384885468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546488224).

2384885468 is an abundant number, since it is smaller than the sum of its proper divisors (2708090980).

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

2384885468 is a wasteful number, since it uses less digits than its factorization.

2384885468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7090 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 56.

The square root of 2384885468 is about 48835.2891667491. The cubic root of 2384885468 is about 1336.0493777094.

The spelling of 2384885468 in words is "two billion, three hundred eighty-four million, eight hundred eighty-five thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 37 47 49 74 94 98 148 188 196 259 329 518 658 1036 1316 1739 1813 2303 3478 3626 4606 6956 6997 7252 9212 12173 13994 24346 27988 48692 48979 85211 97958 170422 195916 258889 328859 340844 342853 517778 657718 685706 1035556 1315436 1371412 1812223 2302013 3624446 4604026 7248892 9208052 12167783 12685561 16114091 24335566 25371122 32228182 48671132 50742244 64456364 85174481 170348962 340697924 596221367 1192442734 2384885468