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383064066 = 234721141107
BaseRepresentation
bin10110110101010…
…001100000000010
3222200210200010000
4112311101200002
51241031022231
6102002220430
712330663600
oct2665214002
9880720100
10383064066
11187258780
12a8354716
1361491a38
1438c36870
152396a6e6
hex16d51802

383064066 has 240 divisors, whose sum is σ = 1126252512. Its totient is φ = 96163200.

The previous prime is 383064047. The next prime is 383064067. The reversal of 383064066 is 660460383.

383064066 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 640 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 383064066.

It is not an unprimeable number, because it can be changed into a prime (383064067) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3579985 + ... + 3580091.

Almost surely, 2383064066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383064066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563126256).

383064066 is an abundant number, since it is smaller than the sum of its proper divisors (743188446).

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

383064066 is a wasteful number, since it uses less digits than its factorization.

383064066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 383064066 is about 19572.0225321759. The cubic root of 383064066 is about 726.2572341661.

It can be divided in two parts, 3830 and 64066, that added together give a triangular number (67896 = T368).

The spelling of 383064066 in words is "three hundred eighty-three million, sixty-four thousand, sixty-six".