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204444306 = 232116116927
BaseRepresentation
bin11000010111110…
…01001010010010
3112020200211212100
430023321022102
5404314204211
632141541230
75031514353
oct1413711222
9466624770
10204444306
11a5449040
1258574816
1333482181
141d21bd2a
1512e36156
hexc2f9292

204444306 has 48 divisors (see below), whose sum is σ = 491182848. Its totient is φ = 60933600.

The previous prime is 204444283. The next prime is 204444319. The reversal of 204444306 is 603444402.

204444306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204444306.

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, 3615 + ... + 20541.

It is an arithmetic number, because the mean of its divisors is an integer number (10232976).

Almost surely, 2204444306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204444306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245591424).

204444306 is an abundant number, since it is smaller than the sum of its proper divisors (286738542).

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

204444306 is a wasteful number, since it uses less digits than its factorization.

204444306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17007 (or 17004 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 204444306 is about 14298.4022184299. The cubic root of 204444306 is about 589.1035951850.

Adding to 204444306 its reverse (603444402), we get a palindrome (807888708).

The spelling of 204444306 in words is "two hundred four million, four hundred forty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 12078 16927 33854 50781 101562 152343 186197 304686 372394 558591 1032547 1117182 1675773 2065094 3097641 3351546 6195282 9292923 11358017 18585846 22716034 34074051 68148102 102222153 204444306