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204312444 = 22373122531
BaseRepresentation
bin11000010110110…
…00111101111100
3112020110010222120
430023120331330
5404300444234
632135042540
75030425050
oct1413307574
9466403876
10204312444
11a5368a66
1258510450
133343714b
141d1c5c60
1512e0c049
hexc2d8f7c

204312444 has 72 divisors (see below), whose sum is σ = 563197824. Its totient is φ = 56469600.

The previous prime is 204312391. The next prime is 204312463. The reversal of 204312444 is 444213402.

It is a happy number.

204312444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79459 + ... + 81989.

It is an arithmetic number, because the mean of its divisors is an integer number (7822192).

Almost surely, 2204312444 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 204312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281598912).

204312444 is an abundant number, since it is smaller than the sum of its proper divisors (358885380).

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

204312444 is a wasteful number, since it uses less digits than its factorization.

204312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 204312444 is about 14293.7904000304. The cubic root of 204312444 is about 588.9769150694.

Adding to 204312444 its reverse (444213402), we get a palindrome (648525846).

The spelling of 204312444 in words is "two hundred four million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1922 2531 2604 2883 3844 5062 5766 6727 7593 10124 11532 13454 15186 17717 20181 26908 30372 35434 40362 53151 70868 78461 80724 106302 156922 212604 235383 313844 470766 549227 941532 1098454 1647681 2196908 2432291 3295362 4864582 6590724 7296873 9729164 14593746 17026037 29187492 34052074 51078111 68104148 102156222 204312444