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66434176 = 271035039
BaseRepresentation
bin1111110101101…
…1010010000000
311122000012120001
43331123102000
5114001343201
610331525344
71434452434
oct375332200
9148005501
1066434176
1134555a86
121a2b9854
13109c0783
148b749c4
155c74301
hex3f5b480

66434176 has 32 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 32888064.

The previous prime is 66434167. The next prime is 66434197. The reversal of 66434176 is 67143466.

66434176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 10665 + ... + 15703.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 266434176 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 66434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

66434176 is an abundant number, since it is smaller than the sum of its proper divisors (67226624).

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

66434176 is a wasteful number, since it uses less digits than its factorization.

66434176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5144 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 66434176 is about 8150.7162875419. The cubic root of 66434176 is about 405.0082323175.

The spelling of 66434176 in words is "sixty-six million, four hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 3296 5039 6592 10078 13184 20156 40312 80624 161248 322496 519017 644992 1038034 2076068 4152136 8304272 16608544 33217088 66434176