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324230112 = 25323730427
BaseRepresentation
bin10011010100110…
…101101111100000
3211121002121002200
4103110311233200
51131000330422
652101213200
711014624203
oct2324655740
9747077080
10324230112
11157023978
1290701200
135223274b
14310bd93a
151d6e82ac
hex13535be0

324230112 has 72 divisors (see below), whose sum is σ = 946980216. Its totient is φ = 105152256.

The previous prime is 324230107. The next prime is 324230131. The reversal of 324230112 is 211032423.

324230112 is a `hidden beast` number, since 324 + 230 + 112 = 666.

324230112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4558 + ... + 25869.

It is an arithmetic number, because the mean of its divisors is an integer number (13152503).

Almost surely, 2324230112 is an apocalyptic number.

324230112 is a gapful number since it is divisible by the number (32) 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 324230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473490108).

324230112 is an abundant number, since it is smaller than the sum of its proper divisors (622750104).

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

324230112 is a wasteful number, since it uses less digits than its factorization.

324230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30480 (or 30469 counting only the distinct ones).

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

The square root of 324230112 is about 18006.3908654677. The cubic root of 324230112 is about 686.9911073517.

Adding to 324230112 its reverse (211032423), we get a palindrome (535262535).

The spelling of 324230112 in words is "three hundred twenty-four million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 30427 60854 91281 121708 182562 243416 273843 365124 486832 547686 730248 973664 1095372 1125799 1460496 2190744 2251598 2920992 3377397 4381488 4503196 6754794 8762976 9006392 10132191 13509588 18012784 20264382 27019176 36025568 40528764 54038352 81057528 108076704 162115056 324230112