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324224 = 2717149
BaseRepresentation
bin1001111001010000000
3121110202022
41033022000
540333344
610541012
72520155
oct1171200
9543668
10324224
1120165a
12137768
13b4764
148622c
15660ee
hex4f280

324224 has 32 divisors (see below), whose sum is σ = 688500. Its totient is φ = 151552.

The previous prime is 324223. The next prime is 324239. The reversal of 324224 is 422423.

It can be written as a sum of positive squares in 2 ways, for example, as 322624 + 1600 = 568^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 324224.

It is not an unprimeable number, because it can be changed into a prime (324223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2102 + ... + 2250.

2324224 is an apocalyptic number.

324224 is a gapful number since it is divisible by the number (34) 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 324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344250).

324224 is an abundant number, since it is smaller than the sum of its proper divisors (364276).

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

324224 is a wasteful number, since it uses less digits than its factorization.

324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its digits is 384, while the sum is 17.

The square root of 324224 is about 569.4067087768. The cubic root of 324224 is about 68.6986790545.

Adding to 324224 its reverse (422423), we get a palindrome (746647).

The spelling of 324224 in words is "three hundred twenty-four thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 149 272 298 544 596 1088 1192 2176 2384 2533 4768 5066 9536 10132 19072 20264 40528 81056 162112 324224