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203424312 = 233713175479
BaseRepresentation
bin11000010000000…
…00001000111000
3112011210000200210
430020000020320
5404034034222
632104031120
75020035540
oct1410001070
9464700623
10203424312
11a4911773
12581624a0
13331b5b20
141d034320
1512cd3d0c
hexc200238

203424312 has 128 divisors (see below), whose sum is σ = 662860800. Its totient is φ = 50485248.

The previous prime is 203424311. The next prime is 203424323. The reversal of 203424312 is 213424302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203424311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34389 + ... + 39867.

It is an arithmetic number, because the mean of its divisors is an integer number (5178600).

Almost surely, 2203424312 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 203424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331430400).

203424312 is an abundant number, since it is smaller than the sum of its proper divisors (459436488).

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

203424312 is a wasteful number, since it uses less digits than its factorization.

203424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 203424312 is about 14262.6895079434. The cubic root of 203424312 is about 588.1222615867.

Adding to 203424312 its reverse (213424302), we get a palindrome (416848614).

The spelling of 203424312 in words is "two hundred three million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3094 4641 5304 5479 6188 9282 10958 12376 16437 18564 21916 32874 37128 38353 43832 65748 71227 76706 93143 115059 131496 142454 153412 186286 213681 230118 279429 284908 306824 372572 427362 460236 498589 558858 569816 652001 745144 854724 920472 997178 1117716 1210859 1304002 1495767 1709448 1956003 1994356 2235432 2421718 2608004 2991534 3632577 3912006 3988712 4843436 5216008 5983068 7265154 7824012 8476013 9686872 11966136 14530308 15648024 16952026 25428039 29060616 33904052 50856078 67808104 101712156 203424312