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66434732 = 22713229797
BaseRepresentation
bin1111110101101…
…1011010101100
311122000020022122
43331123122230
5114001402412
610331532112
71434454160
oct375333254
9148006278
1066434732
1134556441
121a2ba038
13109c0ac0
148b74ca0
155c74572
hex3f5b6ac

66434732 has 48 divisors (see below), whose sum is σ = 143895360. Its totient is φ = 26134272.

The previous prime is 66434723. The next prime is 66434747. The reversal of 66434732 is 23743466.

It is a junction number, because it is equal to n+sod(n) for n = 66434692 and 66434701.

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 15 ways as a sum of consecutive naturals, for example, 82958 + ... + 83754.

It is an arithmetic number, because the mean of its divisors is an integer number (2997820).

Almost surely, 266434732 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 66434732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71947680).

66434732 is an abundant number, since it is smaller than the sum of its proper divisors (77460628).

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

66434732 is a wasteful number, since it uses less digits than its factorization.

66434732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1048 counting only the distinct ones).

The product of its digits is 72576, while the sum is 35.

The square root of 66434732 is about 8150.7503949023. The cubic root of 66434732 is about 405.0093621775.

The spelling of 66434732 in words is "sixty-six million, four hundred thirty-four thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 229 364 458 797 916 1594 1603 2977 3188 3206 5579 5954 6412 10361 11158 11908 20722 20839 22316 41444 41678 72527 83356 145054 182513 290108 365026 730052 1277591 2372669 2555182 4745338 5110364 9490676 16608683 33217366 66434732