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66344976 = 2432538693
BaseRepresentation
bin1111110100010…
…1100000010000
311121211200012100
43331011200100
5113441014401
610330000400
71433631405
oct375054020
9147750170
1066344976
11344a4a65
121a276100
131098bca9
148b502ac
155c57b86
hex3f45810

66344976 has 60 divisors (see below), whose sum is σ = 189198828. Its totient is φ = 21695232.

The previous prime is 66344963. The next prime is 66344987. The reversal of 66344976 is 67944366.

66344976 is a `hidden beast` number, since 6 + 634 + 4 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22467600 + 43877376 = 4740^2 + 6624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3286 + ... + 11978.

Almost surely, 266344976 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 66344976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94599414).

66344976 is an abundant number, since it is smaller than the sum of its proper divisors (122853852).

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

66344976 is a wasteful number, since it uses less digits than its factorization.

66344976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8751 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 66344976 is about 8145.2425378254. The cubic root of 66344976 is about 404.8268853188.

The spelling of 66344976 in words is "sixty-six million, three hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 8693 17386 26079 34772 52158 69544 78237 104316 139088 156474 208632 312948 417264 460729 625896 921458 1251792 1382187 1842916 2764374 3685832 4146561 5528748 7371664 8293122 11057496 16586244 22114992 33172488 66344976