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66443344 = 24111753419
BaseRepresentation
bin1111110101110…
…1100001010000
311122000200010121
43331131201100
5114002141334
610332040024
71434521242
oct375354120
9148020117
1066443344
1134561960
121a303014
13109c49b6
148b78092
155c76db4
hex3f5d850

66443344 has 80 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 27822080.

The previous prime is 66443341. The next prime is 66443357. The reversal of 66443344 is 44334466.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66443341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158367 + ... + 158785.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 266443344 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 66443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

66443344 is an abundant number, since it is smaller than the sum of its proper divisors (85421936).

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

66443344 is a wasteful number, since it uses less digits than its factorization.

66443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

The square root of 66443344 is about 8151.2786726991. The cubic root of 66443344 is about 405.0268620094.

The spelling of 66443344 in words is "sixty-six million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 53 68 88 106 136 176 187 212 272 374 419 424 583 748 838 848 901 1166 1496 1676 1802 2332 2992 3352 3604 4609 4664 6704 7123 7208 9218 9328 9911 14246 14416 18436 19822 22207 28492 36872 39644 44414 56984 73744 78353 79288 88828 113968 156706 158576 177656 244277 313412 355312 377519 488554 626824 755038 977108 1253648 1510076 1954216 3020152 3908432 4152709 6040304 8305418 16610836 33221672 66443344