Search a number
-
+
12304350 = 2325237739
BaseRepresentation
bin101110111011…
…111111011110
3212011010101200
4232323333132
511122214400
61115420330
7206404512
oct56737736
925133350
1012304350
116a44493
1241546a6
13271a6a6
1418c4142
151130b00
hexbbbfde

12304350 has 72 divisors (see below), whose sum is σ = 33997080. Its totient is φ = 3188160.

The previous prime is 12304337. The next prime is 12304351. The reversal of 12304350 is 5340321.

12304350 is a `hidden beast` number, since 1 + 230 + 435 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16281 + ... + 17019.

Almost surely, 212304350 is an apocalyptic number.

12304350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12304350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998540).

12304350 is an abundant number, since it is smaller than the sum of its proper divisors (21692730).

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

12304350 is a wasteful number, since it uses less digits than its factorization.

12304350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12304350 is about 3507.7556927471. The cubic root of 12304350 is about 230.8622330270.

Adding to 12304350 its reverse (5340321), we get a palindrome (17644671).

The spelling of 12304350 in words is "twelve million, three hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 739 925 1110 1478 1665 1850 2217 2775 3330 3695 4434 5550 6651 7390 8325 11085 13302 16650 18475 22170 27343 33255 36950 54686 55425 66510 82029 110850 136715 164058 166275 246087 273430 332550 410145 492174 683575 820290 1230435 1367150 2050725 2460870 4101450 6152175 12304350