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66344112 = 24322915887
BaseRepresentation
bin1111110100010…
…1010010110000
311121211122000100
43331011102300
5113441002422
610325552400
71433626032
oct375052260
9147748010
1066344112
11344a434a
121a275700
131098b793
148b4dc52
155c577ac
hex3f454b0

66344112 has 60 divisors (see below), whose sum is σ = 192085920. Its totient is φ = 21350784.

The previous prime is 66344107. The next prime is 66344129. The reversal of 66344112 is 21144366.

66344112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3768 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (3201432).

Almost surely, 266344112 is an apocalyptic number.

It is an amenable number.

66344112 is an abundant number, since it is smaller than the sum of its proper divisors (125741808).

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

66344112 is a wasteful number, since it uses less digits than its factorization.

66344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 15921 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66344112 is about 8145.1895005580. The cubic root of 66344112 is about 404.8251279792.

Adding to 66344112 its reverse (21144366), we get a palindrome (87488478).

The spelling of 66344112 in words is "sixty-six million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 15887 31774 47661 63548 95322 127096 142983 190644 254192 285966 381288 460723 571932 762576 921446 1143864 1382169 1842892 2287728 2764338 3685784 4146507 5528676 7371568 8293014 11057352 16586028 22114704 33172056 66344112