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3225984 = 27331271
BaseRepresentation
bin1100010011100110000000
320001220012220
430103212000
51311212414
6153051040
736264126
oct14234600
96056186
103225984
111903803
1210b6a80
1388c488
145dd916
1543aca9
hex313980

3225984 has 64 divisors (see below), whose sum is σ = 8878080. Its totient is φ = 1036800.

The previous prime is 3225973. The next prime is 3226001. The reversal of 3225984 is 4895223.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11769 + ... + 12039.

It is an arithmetic number, because the mean of its divisors is an integer number (138720).

Almost surely, 23225984 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 3225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439040).

3225984 is an abundant number, since it is smaller than the sum of its proper divisors (5652096).

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

3225984 is a wasteful number, since it uses less digits than its factorization.

3225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 3225984 is about 1796.1024469668. The cubic root of 3225984 is about 147.7590430246.

The spelling of 3225984 in words is "three million, two hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 271 372 384 496 542 744 813 992 1084 1488 1626 1984 2168 2976 3252 3968 4336 5952 6504 8401 8672 11904 13008 16802 17344 25203 26016 33604 34688 50406 52032 67208 100812 104064 134416 201624 268832 403248 537664 806496 1075328 1612992 3225984