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66318432 = 253690817
BaseRepresentation
bin1111110011111…
…1000001100000
311121210022210020
43330333001200
5113434142212
610325233440
71433461125
oct374770140
9147708706
1066318432
1134487024
121a262880
131097cb9b
148b4474c
155c4ed8c
hex3f3f060

66318432 has 24 divisors (see below), whose sum is σ = 174086136. Its totient is φ = 22106112.

The previous prime is 66318397. The next prime is 66318451. The reversal of 66318432 is 23481366.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66318393 and 66318402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345313 + ... + 345504.

It is an arithmetic number, because the mean of its divisors is an integer number (7253589).

Almost surely, 266318432 is an apocalyptic number.

It is an amenable number.

66318432 is an abundant number, since it is smaller than the sum of its proper divisors (107767704).

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

66318432 is a wasteful number, since it uses less digits than its factorization.

66318432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690830 (or 690822 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 66318432 is about 8143.6129574041. The cubic root of 66318432 is about 404.7728889757.

Adding to 66318432 its reverse (23481366), we get a palindrome (89799798).

The spelling of 66318432 in words is "sixty-six million, three hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 690817 1381634 2072451 2763268 4144902 5526536 8289804 11053072 16579608 22106144 33159216 66318432