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396010368 = 27321331853
BaseRepresentation
bin10111100110101…
…010001110000000
31000121011102002200
4113212222032000
51302334312433
6103143513200
712546014115
oct2746521600
91017142080
10396010368
111935a04a6
12b0758800
1364075680
143a84690c
1524b76613
hex179aa380

396010368 has 192 divisors, whose sum is σ = 1268292480. Its totient is φ = 117780480.

The previous prime is 396010339. The next prime is 396010379. The reversal of 396010368 is 863010693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 463830 + ... + 464682.

It is an arithmetic number, because the mean of its divisors is an integer number (6605690).

Almost surely, 2396010368 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 396010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634146240).

396010368 is an abundant number, since it is smaller than the sum of its proper divisors (872282112).

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

396010368 is a wasteful number, since it uses less digits than its factorization.

396010368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396010368 is about 19900.0092462290. The cubic root of 396010368 is about 734.3484549524.

The spelling of 396010368 in words is "three hundred ninety-six million, ten thousand, three hundred sixty-eight".