Search a number
-
+
3864460 = 2252331271
BaseRepresentation
bin1110101111011110001100
321021100001011
432233132030
51442130320
6214455004
744563435
oct16573614
97240034
103864460
1121aa476
121364464
13a53c82
1472848c
1551505a
hex3af78c

3864460 has 48 divisors (see below), whose sum is σ = 8773632. Its totient is φ = 1425600.

The previous prime is 3864451. The next prime is 3864461. The reversal of 3864460 is 644683.

3864460 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38644603 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3864461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14125 + ... + 14395.

It is an arithmetic number, because the mean of its divisors is an integer number (182784).

Almost surely, 23864460 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 3864460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386816).

3864460 is an abundant number, since it is smaller than the sum of its proper divisors (4909172).

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

3864460 is a wasteful number, since it uses less digits than its factorization.

3864460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3864460 is about 1965.8229828751. The cubic root of 3864460 is about 156.9264940501.

The spelling of 3864460 in words is "three million, eight hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 271 310 460 542 620 713 1084 1355 1426 2710 2852 3565 5420 6233 7130 8401 12466 14260 16802 24932 31165 33604 42005 62330 84010 124660 168020 193223 386446 772892 966115 1932230 3864460