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3304928 = 251141229
BaseRepresentation
bin1100100110110111100000
320012220111202
430212313200
51321224203
6154500332
740043234
oct14466740
96186452
103304928
111958050
1211346a8
138b93a3
146205c4
15454388
hex326de0

3304928 has 48 divisors (see below), whose sum is σ = 7302960. Its totient is φ = 1459200.

The previous prime is 3304913. The next prime is 3304933. The reversal of 3304928 is 8294033.

3304928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3304928.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14318 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (152145).

Almost surely, 23304928 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 3304928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651480).

3304928 is an abundant number, since it is smaller than the sum of its proper divisors (3998032).

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

3304928 is a wasteful number, since it uses less digits than its factorization.

3304928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3304928 is about 1817.9460938103. The cubic root of 3304928 is about 148.9546278679.

The spelling of 3304928 in words is "three million, three hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 229 328 352 451 458 656 902 916 1312 1804 1832 2519 3608 3664 5038 7216 7328 9389 10076 14432 18778 20152 37556 40304 75112 80608 103279 150224 206558 300448 413116 826232 1652464 3304928