Search a number
-
+
66744312 = 23317295641
BaseRepresentation
bin1111111010011…
…0111111111000
311122120221222120
43332212333320
5114041304222
610342321240
71440213555
oct376467770
9148527876
1066744312
1134747a98
121a429220
1310a9b99b
148c15a2c
155cd615c
hex3fa6ff8

66744312 has 64 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 20213760.

The previous prime is 66744289. The next prime is 66744317. The reversal of 66744312 is 21344766.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66744317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9012 + ... + 14652.

Almost surely, 266744312 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 66744312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

66744312 is an abundant number, since it is smaller than the sum of its proper divisors (116056488).

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

66744312 is a wasteful number, since it uses less digits than its factorization.

66744312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5692 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 66744312 is about 8169.7192118212. The cubic root of 66744312 is about 405.6374901642.

The spelling of 66744312 in words is "sixty-six million, seven hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 986 1479 1972 2958 3944 5641 5916 11282 11832 16923 22564 33846 45128 67692 95897 135384 163589 191794 287691 327178 383588 490767 575382 654356 767176 981534 1150764 1308712 1963068 2301528 2781013 3926136 5562026 8343039 11124052 16686078 22248104 33372156 66744312