Search a number
-
+
12130344 = 233389631
BaseRepresentation
bin101110010001…
…100000101000
3211211021201000
4232101200220
511101132334
61111555000
7205051302
oct56214050
924737630
1012130344
116935786
12408ba60
132689425
14187a972
1510e9299
hexb91828

12130344 has 64 divisors (see below), whose sum is σ = 34128000. Its totient is φ = 3991680.

The previous prime is 12130319. The next prime is 12130351. The reversal of 12130344 is 44303121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18909 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (533250).

Almost surely, 212130344 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 12130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064000).

12130344 is an abundant number, since it is smaller than the sum of its proper divisors (21997656).

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

12130344 is a wasteful number, since it uses less digits than its factorization.

12130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12130344 is about 3482.8643384433. The cubic root of 12130344 is about 229.7687909679.

Adding to 12130344 its reverse (44303121), we get a palindrome (56433465).

The spelling of 12130344 in words is "twelve million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 631 712 801 1068 1262 1602 1893 2136 2403 2524 3204 3786 4806 5048 5679 6408 7572 9612 11358 15144 17037 19224 22716 34074 45432 56159 68148 112318 136296 168477 224636 336954 449272 505431 673908 1010862 1347816 1516293 2021724 3032586 4043448 6065172 12130344