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2384085648 = 243719373447
BaseRepresentation
bin1000111000011010…
…0100001010010000
320011011002002200110
42032012210022100
514340311220043
61032323121320
7113036252010
oct21606441220
96134062613
102384085648
11101383291a
12566513240
132bcc06089
141888b9c40
15de480b33
hex8e1a4290

2384085648 has 80 divisors (see below), whose sum is σ = 7409208320. Its totient is φ = 645314688.

The previous prime is 2384085643. The next prime is 2384085707. The reversal of 2384085648 is 8465804832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2384085597 and 2384085606.

It is not an unprimeable number, because it can be changed into a prime (2384085643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180340 + ... + 193107.

It is an arithmetic number, because the mean of its divisors is an integer number (92615104).

Almost surely, 22384085648 is an apocalyptic number.

2384085648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2384085648 is an abundant number, since it is smaller than the sum of its proper divisors (5025122672).

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

2384085648 is a wasteful number, since it uses less digits than its factorization.

2384085648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373484 (or 373478 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2384085648 is about 48827.0995247516. The cubic root of 2384085648 is about 1335.9000038703.

The spelling of 2384085648 in words is "two billion, three hundred eighty-four million, eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 373447 746894 1120341 1493788 2240682 2614129 2987576 4481364 5228258 5975152 7095493 7842387 8962728 10456516 14190986 15684774 17925456 20913032 21286479 28381972 31369548 41826064 42572958 49668451 56763944 62739096 85145916 99336902 113527888 125478192 149005353 170291832 198673804 298010706 340583664 397347608 596021412 794695216 1192042824 2384085648