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200343264 = 25311193983
BaseRepresentation
bin10111111000011…
…11111011100000
3111221222111021220
423330033323200
5402241441024
631514015040
74651614102
oct1374177340
9457874256
10200343264
11a30a7950
1257117480
1332677614
141c871572
15128c5e79
hexbf0fee0

200343264 has 96 divisors (see below), whose sum is σ = 577269504. Its totient is φ = 60334080.

The previous prime is 200343259. The next prime is 200343293. The reversal of 200343264 is 462343002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203317 + ... + 204299.

It is an arithmetic number, because the mean of its divisors is an integer number (6013224).

Almost surely, 2200343264 is an apocalyptic number.

200343264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288634752).

200343264 is an abundant number, since it is smaller than the sum of its proper divisors (376926240).

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

200343264 is a wasteful number, since it uses less digits than its factorization.

200343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 200343264 is about 14154.2666358946. The cubic root of 200343264 is about 585.1379264234.

Adding to 200343264 its reverse (462343002), we get a palindrome (662686266).

The spelling of 200343264 in words is "two hundred million, three hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 193 264 352 386 528 579 772 983 1056 1158 1544 1966 2123 2316 2949 3088 3932 4246 4632 5898 6176 6369 7864 8492 9264 10813 11796 12738 15728 16984 18528 21626 23592 25476 31456 32439 33968 43252 47184 50952 64878 67936 86504 94368 101904 129756 173008 189719 203808 259512 346016 379438 519024 569157 758876 1038048 1138314 1517752 2086909 2276628 3035504 4173818 4553256 6071008 6260727 8347636 9106512 12521454 16695272 18213024 25042908 33390544 50085816 66781088 100171632 200343264