Search a number
-
+
6304768 = 21047131
BaseRepresentation
bin11000000011010000000000
3102212022111221
4120003100000
53103223033
6343044424
7104406151
oct30032000
912768457
106304768
113616958
122140714
1313c9942
14ba1928
1584812d
hex603400

6304768 has 44 divisors (see below), whose sum is σ = 12969792. Its totient is φ = 3061760.

The previous prime is 6304741. The next prime is 6304769. The reversal of 6304768 is 8674036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6304769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48063 + ... + 48193.

It is an arithmetic number, because the mean of its divisors is an integer number (294768).

Almost surely, 26304768 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 6304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484896).

6304768 is an abundant number, since it is smaller than the sum of its proper divisors (6665024).

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

6304768 is a wasteful number, since it uses less digits than its factorization.

6304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 6304768 is about 2510.9297082953. The cubic root of 6304768 is about 184.7380563617.

The spelling of 6304768 in words is "six million, three hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 131 188 256 262 376 512 524 752 1024 1048 1504 2096 3008 4192 6016 6157 8384 12032 12314 16768 24064 24628 33536 48128 49256 67072 98512 134144 197024 394048 788096 1576192 3152384 6304768