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204099312 = 24341137757
BaseRepresentation
bin11000010101001…
…00111011110000
3112020001022121210
430022210323300
5404222134222
632130320120
75025546504
oct1412447360
9466038553
10204099312
11a523291a
1258429040
1333391131
141d16c304
1512db8d0c
hexc2a4ef0

204099312 has 80 divisors (see below), whose sum is σ = 544777632. Its totient is φ = 65802240.

The previous prime is 204099299. The next prime is 204099347. The reversal of 204099312 is 213990402.

204099312 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 204099312.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 269238 + ... + 269994.

Almost surely, 2204099312 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 204099312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272388816).

204099312 is an abundant number, since it is smaller than the sum of its proper divisors (340678320).

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

204099312 is a wasteful number, since it uses less digits than its factorization.

204099312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 204099312 is about 14286.3330494567. Note that the first 3 decimals coincide. The cubic root of 204099312 is about 588.7720433865.

The spelling of 204099312 in words is "two hundred four million, ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 137 164 246 274 328 411 492 548 656 757 822 984 1096 1514 1644 1968 2192 2271 3028 3288 4542 5617 6056 6576 9084 11234 12112 16851 18168 22468 31037 33702 36336 44936 62074 67404 89872 93111 103709 124148 134808 186222 207418 248296 269616 311127 372444 414836 496592 622254 744888 829672 1244508 1489776 1659344 2489016 4252069 4978032 8504138 12756207 17008276 25512414 34016552 51024828 68033104 102049656 204099312