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8280324 = 22321321361
BaseRepresentation
bin11111100101100100000100
3120120200110200
4133211210010
54104432244
6453250500
7130244613
oct37454404
916520420
108280324
114746148
122933a30
13193bc00
14115787a
15ad8669
hex7e5904

8280324 has 54 divisors (see below), whose sum is σ = 22681386. Its totient is φ = 2545920.

The previous prime is 8280289. The next prime is 8280331. The reversal of 8280324 is 4230828.

It can be written as a sum of positive squares in 3 ways, for example, as 260100 + 8020224 = 510^2 + 2832^2 .

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 17 ways as a sum of consecutive naturals, for example, 5404 + ... + 6764.

Almost surely, 28280324 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 8280324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340693).

8280324 is an abundant number, since it is smaller than the sum of its proper divisors (14401062).

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

8280324 is a wasteful number, since it uses less digits than its factorization.

8280324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8280324 is about 2877.5552123287. Note that the first 3 decimals coincide. The cubic root of 8280324 is about 202.3092671376.

The spelling of 8280324 in words is "eight million, two hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1361 1521 2028 2722 3042 4083 5444 6084 8166 12249 16332 17693 24498 35386 48996 53079 70772 106158 159237 212316 230009 318474 460018 636948 690027 920036 1380054 2070081 2760108 4140162 8280324