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204344000244 = 223229277706613
BaseRepresentation
bin1011111001001111011…
…0011111111011110100
3201112110002021202120100
42332103312133323310
511321444031001434
6233512505034100
720522556225516
oct2762366377364
9645402252510
10204344000244
117973095194a
123372a485930
13163672a5c17
149c66dbdbb6
1554ae9ea699
hex2f93d9fef4

204344000244 has 72 divisors (see below), whose sum is σ = 536277629160. Its totient is φ = 65528370432.

The previous prime is 204344000243. The next prime is 204344000251. The reversal of 204344000244 is 442000443402.

It is a happy number.

204344000244 is a `hidden beast` number, since 204 + 34 + 400 + 0 + 24 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1762992144 + 202581008100 = 41988^2 + 450090^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204344000243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64119 + ... + 642494.

It is an arithmetic number, because the mean of its divisors is an integer number (7448300405).

Almost surely, 2204344000244 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 204344000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268138814580).

204344000244 is an abundant number, since it is smaller than the sum of its proper divisors (331933628916).

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

204344000244 is a wasteful number, since it uses less digits than its factorization.

204344000244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706929 (or 706924 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 204344000244 its reverse (442000443402), we get a palindrome (646344443646).

The spelling of 204344000244 in words is "two hundred four billion, three hundred forty-four million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 277 348 522 554 831 1044 1108 1662 2493 3324 4986 8033 9972 16066 24099 32132 48198 72297 96396 144594 289188 706613 1413226 2119839 2826452 4239678 6359517 8479356 12719034 20491777 25438068 40983554 61475331 81967108 122950662 184425993 195731801 245901324 368851986 391463602 587195403 737703972 782927204 1174390806 1761586209 2348781612 3523172418 5676222229 7046344836 11352444458 17028666687 22704888916 34057333374 51086000061 68114666748 102172000122 204344000244