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12983334 = 2372134379
BaseRepresentation
bin110001100001…
…110000100110
3220102121210020
4301201300212
511310431314
61142140010
7215233200
oct61416046
926377706
1012983334
117368631
124421606
1328c7760
141a1d770
151216da9
hexc61c26

12983334 has 96 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 3302208.

The previous prime is 12983309. The next prime is 12983351. The reversal of 12983334 is 43338921.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12983295 and 12983304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164307 + ... + 164385.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 212983334 is an apocalyptic number.

12983334 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 12983334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

12983334 is an abundant number, since it is smaller than the sum of its proper divisors (20724186).

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

12983334 is a wasteful number, since it uses less digits than its factorization.

12983334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 12983334 is about 3603.2393758950. The cubic root of 12983334 is about 235.0329454339.

The spelling of 12983334 in words is "twelve million, nine hundred eighty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 49 78 79 86 91 98 129 147 158 182 237 258 273 294 301 474 546 553 559 602 637 903 1027 1106 1118 1274 1659 1677 1806 1911 2054 2107 3081 3318 3354 3397 3822 3871 3913 4214 6162 6321 6794 7189 7742 7826 10191 11613 11739 12642 14378 20382 21567 23226 23478 23779 27391 43134 44161 47558 50323 54782 71337 82173 88322 100646 132483 142674 150969 164346 166453 264966 301938 309127 332906 499359 618254 927381 998718 1854762 2163889 4327778 6491667 12983334