Search a number
-
+
4232320 = 27517389
BaseRepresentation
bin10000001001010010000000
321222000122121
4100021102000
52040413240
6230414024
750655061
oct20112200
97860577
104232320
112430894
121501314
13b52541
147c2568
1558904a
hex409480

4232320 has 64 divisors (see below), whose sum is σ = 10740600. Its totient is φ = 1589248.

The previous prime is 4232309. The next prime is 4232351. The reversal of 4232320 is 232324.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 817216 = 1848^2 + 904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4232294 and 4232303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10686 + ... + 11074.

Almost surely, 24232320 is an apocalyptic number.

4232320 is a gapful number since it is divisible by the number (40) 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 4232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370300).

4232320 is an abundant number, since it is smaller than the sum of its proper divisors (6508280).

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

4232320 is a wasteful number, since it uses less digits than its factorization.

4232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 4232320 is about 2057.2603141071. The cubic root of 4232320 is about 161.7556647937.

Adding to 4232320 its reverse (232324), we get a palindrome (4464644).

It can be divided in two parts, 4 and 232320, that added together give a square (232324 = 4822).

The spelling of 4232320 in words is "four million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 389 544 640 680 778 1088 1360 1556 1945 2176 2720 3112 3890 5440 6224 6613 7780 10880 12448 13226 15560 24896 26452 31120 33065 49792 52904 62240 66130 105808 124480 132260 211616 248960 264520 423232 529040 846464 1058080 2116160 4232320