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66032384 = 2811131179
BaseRepresentation
bin1111101111100…
…1001100000000
311121020210101212
43323321030000
5113401014014
610315145252
71431160145
oct373711400
9147223355
1066032384
1134301120
121a145228
13108ac922
148aac3cc
155be523e
hex3ef9300

66032384 has 72 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 29619200.

The previous prime is 66032381. The next prime is 66032389. The reversal of 66032384 is 48323066.

66032384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 66032384.

It is not an unprimeable number, because it can be changed into a prime (66032381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 368807 + ... + 368985.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 266032384 is an apocalyptic number.

66032384 is a gapful number since it is divisible by the number (64) 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 66032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

66032384 is an abundant number, since it is smaller than the sum of its proper divisors (79663936).

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

66032384 is a wasteful number, since it uses less digits than its factorization.

66032384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 66032384 is about 8126.0312576312. The cubic root of 66032384 is about 404.1900879803.

The spelling of 66032384 in words is "sixty-six million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 179 256 262 352 358 524 704 716 1048 1408 1432 1441 1969 2096 2816 2864 2882 3938 4192 5728 5764 7876 8384 11456 11528 15752 16768 22912 23056 23449 31504 33536 45824 46112 46898 63008 92224 93796 126016 184448 187592 252032 257939 368896 375184 504064 515878 750368 1031756 1500736 2063512 3001472 4127024 6002944 8254048 16508096 33016192 66032384