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3241224 = 2332759109
BaseRepresentation
bin1100010111010100001000
320002200010100
430113110020
51312204344
6153245400
736356430
oct14272410
96080110
103241224
1119141a8
121103860
138963ac
146052c0
15440569
hex317508

3241224 has 96 divisors (see below), whose sum is σ = 10296000. Its totient is φ = 902016.

The previous prime is 3241219. The next prime is 3241253. The reversal of 3241224 is 4221423.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3241197 and 3241206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29682 + ... + 29790.

It is an arithmetic number, because the mean of its divisors is an integer number (107250).

Almost surely, 23241224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148000).

3241224 is an abundant number, since it is smaller than the sum of its proper divisors (7054776).

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

3241224 is a wasteful number, since it uses less digits than its factorization.

3241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 3241224 is about 1800.3399678950. The cubic root of 3241224 is about 147.9913557162.

Adding to 3241224 its reverse (4221423), we get a palindrome (7462647).

The spelling of 3241224 in words is "three million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 109 118 126 168 177 218 236 252 327 354 413 436 472 504 531 654 708 763 826 872 981 1062 1239 1308 1416 1526 1652 1962 2124 2289 2478 2616 3052 3304 3717 3924 4248 4578 4956 6104 6431 6867 7434 7848 9156 9912 12862 13734 14868 18312 19293 25724 27468 29736 38586 45017 51448 54936 57879 77172 90034 115758 135051 154344 180068 231516 270102 360136 405153 463032 540204 810306 1080408 1620612 3241224