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3864016 = 241321429
BaseRepresentation
bin1110101111010111010000
321021022102201
432233113100
51442122031
6214452544
744562232
oct16572720
97238381
103864016
1121aa102
121364154
13a53a00
14728252
15514d61
hex3af5d0

3864016 has 30 divisors (see below), whose sum is σ = 8112390. Its totient is φ = 1782144.

The previous prime is 3863987. The next prime is 3864019. The reversal of 3864016 is 6104683.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 3610000 = 504^2 + 1900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1990 + ... + 3418.

It is an arithmetic number, because the mean of its divisors is an integer number (270413).

Almost surely, 23864016 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 3864016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056195).

3864016 is an abundant number, since it is smaller than the sum of its proper divisors (4248374).

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

3864016 is a wasteful number, since it uses less digits than its factorization.

3864016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3864016 is about 1965.7100498293. The cubic root of 3864016 is about 156.9204838933.

Adding to 3864016 its reverse (6104683), we get a palindrome (9968699).

The spelling of 3864016 in words is "three million, eight hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1429 2704 2858 5716 11432 18577 22864 37154 74308 148616 241501 297232 483002 966004 1932008 3864016