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3864320 = 2853019
BaseRepresentation
bin1110101111011100000000
321021022211222
432233130000
51442124240
6214454212
744563145
oct16573400
97238758
103864320
1121aa359
121364368
13a53ba5
147283cc
15514eb5
hex3af700

3864320 has 36 divisors (see below), whose sum is σ = 9259320. Its totient is φ = 1545216.

The previous prime is 3864319. The next prime is 3864331. The reversal of 3864320 is 234683.

3864320 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 3864320.

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 3 ways as a sum of consecutive naturals, for example, 230 + ... + 2789.

Almost surely, 23864320 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 3864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629660).

3864320 is an abundant number, since it is smaller than the sum of its proper divisors (5395000).

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

3864320 is an equidigital number, since it uses as much as digits as its factorization.

3864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3864320 is about 1965.7873740565. The cubic root of 3864320 is about 156.9245990053.

The spelling of 3864320 in words is "three million, eight hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 3019 6038 12076 15095 24152 30190 48304 60380 96608 120760 193216 241520 386432 483040 772864 966080 1932160 3864320