Search a number
-
+
3188064 = 253113019
BaseRepresentation
bin1100001010010101100000
312222222012110
430022111200
51304004224
6152155320
736045435
oct14122540
95888173
103188064
111888270
121098b40
13878139
145cdb8c
1542e929
hex30a560

3188064 has 48 divisors (see below), whose sum is σ = 9132480. Its totient is φ = 965760.

The previous prime is 3188033. The next prime is 3188077. The reversal of 3188064 is 4608813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 454 + ... + 2565.

It is an arithmetic number, because the mean of its divisors is an integer number (190260).

Almost surely, 23188064 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 3188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566240).

3188064 is an abundant number, since it is smaller than the sum of its proper divisors (5944416).

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

3188064 is a wasteful number, since it uses less digits than its factorization.

3188064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3188064 is about 1785.5150517428. The cubic root of 3188064 is about 147.1778125034.

The spelling of 3188064 in words is "three million, one hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3019 6038 9057 12076 18114 24152 33209 36228 48304 66418 72456 96608 99627 132836 144912 199254 265672 289824 398508 531344 797016 1062688 1594032 3188064