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66343168 = 28337769
BaseRepresentation
bin1111110100010…
…1000100000000
311121211120201101
43331011010000
5113440440133
610325544144
71433623213
oct375050400
9147746641
1066343168
11344a3671
121a275054
131098b218
148b4d77a
155c5737d
hex3f45100

66343168 has 36 divisors (see below), whose sum is σ = 132992860. Its totient is φ = 33030144.

The previous prime is 66343159. The next prime is 66343187. The reversal of 66343168 is 86134366.

It can be written as a sum of positive squares in 2 ways, for example, as 21827584 + 44515584 = 4672^2 + 6672^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 85888 + ... + 86656.

Almost surely, 266343168 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 66343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66496430).

66343168 is an abundant number, since it is smaller than the sum of its proper divisors (66649692).

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

66343168 is an equidigital number, since it uses as much as digits as its factorization.

66343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1108 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 66343168 is about 8145.1315520377. The cubic root of 66343168 is about 404.8232079056.

The spelling of 66343168 in words is "sixty-six million, three hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 337 674 769 1348 1538 2696 3076 5392 6152 10784 12304 21568 24608 43136 49216 86272 98432 196864 259153 518306 1036612 2073224 4146448 8292896 16585792 33171584 66343168