Search a number
-
+
394482816 = 27327135371
BaseRepresentation
bin10111100000110…
…101010010000000
31000111021210200200
4113200311102000
51301441422231
6103051045200
712530022450
oct2740652200
91014253620
10394482816
11192747862
12b0140800
136395c2b0
143a569d60
1524973be6
hex17835480

394482816 has 384 divisors, whose sum is σ = 1443536640. Its totient is φ = 100638720.

The previous prime is 394482811. The next prime is 394482877. The reversal of 394482816 is 618284493.

It is a happy number.

394482816 is a `hidden beast` number, since 3 + 94 + 482 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (394482811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5556061 + ... + 5556131.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2394482816 is an apocalyptic number.

394482816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

394482816 is an abundant number, since it is smaller than the sum of its proper divisors (1049053824).

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

394482816 is a wasteful number, since it uses less digits than its factorization.

394482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 394482816 is about 19861.5914770192. The cubic root of 394482816 is about 733.4030244145.

The spelling of 394482816 in words is "three hundred ninety-four million, four hundred eighty-two thousand, eight hundred sixteen".