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66634316 = 22721093119
BaseRepresentation
bin1111111000110…
…0001001001100
311122101101002122
43332030021030
5114024244231
610340112112
71436245100
oct376141114
9148341078
1066634316
1134682391
121a395638
1310a608b8
148bc7900
155cb377b
hex3f8c24c

66634316 has 36 divisors (see below), whose sum is σ = 136936800. Its totient is φ = 28286496.

The previous prime is 66634301. The next prime is 66634319. The reversal of 66634316 is 61343666.

66634316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66634319) by changing a digit.

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, 19805 + ... + 22923.

It is an arithmetic number, because the mean of its divisors is an integer number (3803800).

Almost surely, 266634316 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 66634316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68468400).

66634316 is an abundant number, since it is smaller than the sum of its proper divisors (70302484).

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

66634316 is a wasteful number, since it uses less digits than its factorization.

66634316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3237 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 66634316 is about 8162.9845032316. The cubic root of 66634316 is about 405.4145346632.

The spelling of 66634316 in words is "sixty-six million, six hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 3052 3119 5341 6238 10682 12476 21364 21833 43666 87332 152831 305662 339971 611324 679942 1359884 2379797 4759594 9519188 16658579 33317158 66634316