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12834300 = 22352179239
BaseRepresentation
bin110000111101…
…010111111100
3220011001100110
4300331113330
511241144200
61135030020
7214042533
oct60752774
926131313
1012834300
117276666
12436b310
13287497b
1419c131a
1511d7b50
hexc3d5fc

12834300 has 72 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3389120.

The previous prime is 12834293. The next prime is 12834313. The reversal of 12834300 is 343821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53581 + ... + 53819.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 212834300 is an apocalyptic number.

12834300 is a gapful number since it is divisible by the number (10) 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 12834300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12834300 is an abundant number, since it is smaller than the sum of its proper divisors (24663300).

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

12834300 is a wasteful number, since it uses less digits than its factorization.

12834300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12834300 is about 3582.4991277040. The cubic root of 12834300 is about 234.1301781324.

The spelling of 12834300 in words is "twelve million, eight hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 239 300 358 478 537 716 717 895 956 1074 1195 1434 1790 2148 2390 2685 2868 3580 3585 4475 4780 5370 5975 7170 8950 10740 11950 13425 14340 17900 17925 23900 26850 35850 42781 53700 71700 85562 128343 171124 213905 256686 427810 513372 641715 855620 1069525 1283430 2139050 2566860 3208575 4278100 6417150 12834300