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12441324 = 2237374003
BaseRepresentation
bin101111011101…
…011011101100
3212102002021210
4233131123230
511141110244
61122354420
7210515040
oct57353354
925362253
1012441324
117028395
1241bba10
132767b3c
14191c020
15115b4b9
hexbdd6ec

12441324 has 48 divisors (see below), whose sum is σ = 34082048. Its totient is φ = 3457728.

The previous prime is 12441313. The next prime is 12441329. The reversal of 12441324 is 42314421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12441324.

It is not an unprimeable number, because it can be changed into a prime (12441329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107 + ... + 5109.

Almost surely, 212441324 is an apocalyptic number.

12441324 is a gapful number since it is divisible by the number (14) 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 12441324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041024).

12441324 is an abundant number, since it is smaller than the sum of its proper divisors (21640724).

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

12441324 is a wasteful number, since it uses less digits than its factorization.

12441324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4052 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 12441324 is about 3527.2261055963. The cubic root of 12441324 is about 231.7157388470.

Adding to 12441324 its reverse (42314421), we get a palindrome (54755745).

The spelling of 12441324 in words is "twelve million, four hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 4003 8006 12009 16012 24018 28021 48036 56042 84063 112084 148111 168126 296222 336252 444333 592444 888666 1036777 1777332 2073554 3110331 4147108 6220662 12441324