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4324144 = 241179311
BaseRepresentation
bin10000011111101100110000
322010200121111
4100133230300
52101333034
6232403104
751516556
oct20375460
98120544
104324144
112493880
121546494
13b85286
14807bd6
155a6364
hex41fb30

4324144 has 40 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 1934400.

The previous prime is 4324127. The next prime is 4324157. The reversal of 4324144 is 4414234.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13749 + ... + 14059.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 24324144 is an apocalyptic number.

4324144 is a gapful number since it is divisible by the number (44) 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 4324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

4324144 is an abundant number, since it is smaller than the sum of its proper divisors (4960976).

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

4324144 is a wasteful number, since it uses less digits than its factorization.

4324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 4324144 is about 2079.4576215927. The cubic root of 4324144 is about 162.9171169576.

Adding to 4324144 its reverse (4414234), we get a palindrome (8738378).

The spelling of 4324144 in words is "four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 311 316 622 632 869 1244 1264 1738 2488 3421 3476 4976 6842 6952 13684 13904 24569 27368 49138 54736 98276 196552 270259 393104 540518 1081036 2162072 4324144