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3304880 = 245109379
BaseRepresentation
bin1100100110110110110000
320012220102222
430212312300
51321224010
6154500212
740043135
oct14466660
96186388
103304880
111958007
121134668
138b9367
1462058c
15454355
hex326db0

3304880 has 40 divisors (see below), whose sum is σ = 7774800. Its totient is φ = 1306368.

The previous prime is 3304871. The next prime is 3304883. The reversal of 3304880 is 884033.

3304880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3304883) by changing a digit.

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, 8531 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (194370).

Almost surely, 23304880 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 3304880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887400).

3304880 is an abundant number, since it is smaller than the sum of its proper divisors (4469920).

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

3304880 is a wasteful number, since it uses less digits than its factorization.

3304880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3304880 is about 1817.9328920507. The cubic root of 3304880 is about 148.9539067370.

The spelling of 3304880 in words is "three million, three hundred four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 379 436 545 758 872 1090 1516 1744 1895 2180 3032 3790 4360 6064 7580 8720 15160 30320 41311 82622 165244 206555 330488 413110 660976 826220 1652440 3304880