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66347316 = 223371931149
BaseRepresentation
bin1111110100011…
…0000100110100
311121211210102000
43331012010310
5113441103231
610330015300
71433641260
oct375060464
9147753360
1066347316
11344a67a2
121a277530
1310990089
148b510a0
155c586e6
hex3f46134

66347316 has 192 divisors, whose sum is σ = 215040000. Its totient is φ = 17262720.

The previous prime is 66347293. The next prime is 66347339. The reversal of 66347316 is 61374366.

It is a happy number.

66347316 is a `hidden beast` number, since 6 + 634 + 7 + 3 + 16 = 666.

66347316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66347293) and next prime (66347339).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 445210 + ... + 445358.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000).

Almost surely, 266347316 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 66347316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520000).

66347316 is an abundant number, since it is smaller than the sum of its proper divisors (148692684).

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

66347316 is a wasteful number, since it uses less digits than its factorization.

66347316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 66347316 is about 8145.3861786904. The cubic root of 66347316 is about 404.8316447034.

The spelling of 66347316 in words is "sixty-six million, three hundred forty-seven thousand, three hundred sixteen".