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203403312 = 2434723203
BaseRepresentation
bin11000001111110…
…11000000110000
3112011201221220000
430013323000300
5404032401222
632103350000
75016620400
oct1407730060
9464657800
10203403312
11a48a7a12
1258152300
13331a93b8
141d02a800
1512ccc9ac
hexc1fb030

203403312 has 150 divisors (see below), whose sum is σ = 685037628. Its totient is φ = 58097088.

The previous prime is 203403281. The next prime is 203403313. The reversal of 203403312 is 213304302.

203403312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (203403313) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61903 + ... + 65105.

Almost surely, 2203403312 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 203403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342518814).

203403312 is an abundant number, since it is smaller than the sum of its proper divisors (481634316).

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

203403312 is a wasteful number, since it uses less digits than its factorization.

203403312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 203403312 is about 14261.9533024057. The cubic root of 203403312 is about 588.1020231134.

Adding to 203403312 its reverse (213304302), we get a palindrome (416707614).

The spelling of 203403312 in words is "two hundred three million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3203 3528 3969 4536 5292 6406 7056 7938 9072 9609 10584 12812 15876 19218 21168 22421 25624 28827 31752 38436 44842 51248 57654 63504 67263 76872 86481 89684 115308 134526 153744 156947 172962 179368 201789 230616 259443 269052 313894 345924 358736 403578 461232 470841 518886 538104 605367 627788 691848 807156 941682 1037772 1076208 1210734 1255576 1383696 1412523 1614312 1816101 1883364 2075544 2421468 2511152 2825046 3228624 3632202 3766728 4151088 4237569 4842936 5650092 7264404 7533456 8475138 9685872 11300184 12712707 14528808 16950276 22600368 25425414 29057616 33900552 50850828 67801104 101701656 203403312