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13233234 = 23721923103
BaseRepresentation
bin110010011110…
…110001010010
3220220022120210
4302132301102
511341430414
61151344550
7220323600
oct62366122
926808523
1013233234
117519363
124522156
132984421
141a86870
151265e59
hexc9ec52

13233234 has 96 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 3392928.

The previous prime is 13233229. The next prime is 13233239. The reversal of 13233234 is 43233231.

13233234 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13233229) and next prime (13233239).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13233234.

It is not an unprimeable number, because it can be changed into a prime (13233239) 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, 128427 + ... + 128529.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 213233234 is an apocalyptic number.

13233234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

13233234 is an abundant number, since it is smaller than the sum of its proper divisors (20912046).

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

13233234 is a wasteful number, since it uses less digits than its factorization.

13233234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 13233234 is about 3637.7512284377. The cubic root of 13233234 is about 236.5313246757.

Adding to 13233234 its reverse (43233231), we get a palindrome (56466465).

The spelling of 13233234 in words is "thirteen million, two hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 49 57 69 98 103 114 133 138 147 161 206 266 294 309 322 399 437 483 618 721 798 874 931 966 1127 1311 1442 1862 1957 2163 2254 2369 2622 2793 3059 3381 3914 4326 4738 5047 5586 5871 6118 6762 7107 9177 10094 11742 13699 14214 15141 16583 18354 21413 27398 30282 33166 41097 42826 45011 49749 64239 82194 90022 95893 99498 116081 128478 135033 191786 232162 270066 287679 315077 348243 575358 630154 696486 945231 1890462 2205539 4411078 6616617 13233234