Search a number
-
+
204334452 = 2232743109173
BaseRepresentation
bin11000010110111…
…10010101110100
3112020111021011200
430023132111310
5404302200302
632135332500
75030546160
oct1413362564
9466437150
10204334452
11a5383553
1258521130
133344417a
141d1cdca0
1512e1381c
hexc2de574

204334452 has 144 divisors (see below), whose sum is σ = 613092480. Its totient is φ = 56173824.

The previous prime is 204334433. The next prime is 204334453. The reversal of 204334452 is 254433402.

204334452 is a `hidden beast` number, since 204 + 3 + 3 + 4 + 452 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204334453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1181038 + ... + 1181210.

Almost surely, 2204334452 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 204334452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306546240).

204334452 is an abundant number, since it is smaller than the sum of its proper divisors (408758028).

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

204334452 is a wasteful number, since it uses less digits than its factorization.

204334452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 204334452 is about 14294.5602240852. The cubic root of 204334452 is about 588.9980619924.

Adding to 204334452 its reverse (254433402), we get a palindrome (458767854).

The spelling of 204334452 in words is "two hundred four million, three hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 109 126 129 172 173 218 252 258 301 327 346 387 436 516 519 602 654 692 763 774 903 981 1038 1204 1211 1308 1526 1548 1557 1806 1962 2076 2289 2422 2709 3052 3114 3612 3633 3924 4578 4687 4844 5418 6228 6867 7266 7439 9156 9374 10836 10899 13734 14061 14532 14878 18748 18857 21798 22317 27468 28122 29756 32809 37714 42183 43596 44634 52073 56244 56571 65618 66951 75428 84366 89268 98427 104146 113142 131236 131999 133902 156219 168732 169713 196854 208292 226284 263998 267804 295281 312438 339426 393708 395997 468657 527996 590562 624876 678852 791994 810851 937314 1181124 1187991 1583988 1621702 1874628 2375982 2432553 3243404 4751964 4865106 5675957 7297659 9730212 11351914 14595318 17027871 22703828 29190636 34055742 51083613 68111484 102167226 204334452