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3804384 = 253231723
BaseRepresentation
bin1110100000110011100000
321011021122010
432200303200
51433220014
6213312520
744223333
oct16406340
97137563
103804384
112169321
121335740
13a3281c
1471061a
15502359
hex3a0ce0

3804384 has 48 divisors (see below), whose sum is σ = 10426752. Its totient is φ = 1212288.

The previous prime is 3804373. The next prime is 3804397. The reversal of 3804384 is 4834083.

3804384 is digitally balanced in base 5, 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 (48).

It is a zygodrome in base 7.

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, 1347 + ... + 3069.

It is an arithmetic number, because the mean of its divisors is an integer number (217224).

Almost surely, 23804384 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 3804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213376).

3804384 is an abundant number, since it is smaller than the sum of its proper divisors (6622368).

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

3804384 is a wasteful number, since it uses less digits than its factorization.

3804384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3804384 is about 1950.4830171011. The cubic root of 3804384 is about 156.1090624592.

The spelling of 3804384 in words is "three million, eight hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1723 2208 3446 5169 6892 10338 13784 20676 27568 39629 41352 55136 79258 82704 118887 158516 165408 237774 317032 475548 634064 951096 1268128 1902192 3804384