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2823424 = 2841269
BaseRepresentation
bin1010110001010100000000
312022110000021
422301110000
51210322144
6140303224
732666362
oct12612400
95273007
102823424
11165930a
12b41b14
1377b186
14536d32
153ab884
hex2b1500

2823424 has 36 divisors (see below), whose sum is σ = 5794740. Its totient is φ = 1372160.

The previous prime is 2823407. The next prime is 2823437. The reversal of 2823424 is 4243282.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 2663424 = 400^2 + 1632^2 .

It is a congruent number.

It is an unprimeable number.

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, 10362 + ... + 10630.

It is an arithmetic number, because the mean of its divisors is an integer number (160965).

22823424 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 2823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897370).

2823424 is an abundant number, since it is smaller than the sum of its proper divisors (2971316).

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

2823424 is an equidigital number, since it uses as much as digits as its factorization.

2823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 2823424 is about 1680.3047342670. The cubic root of 2823424 is about 141.3379216105.

The spelling of 2823424 in words is "two million, eight hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 269 328 538 656 1076 1312 2152 2624 4304 5248 8608 10496 11029 17216 22058 34432 44116 68864 88232 176464 352928 705856 1411712 2823424