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3226000 = 24531613
BaseRepresentation
bin1100010011100110010000
320001220020111
430103212100
51311213000
6153051104
736264151
oct14234620
96056214
103226000
111903818
1210b6a94
1388c49b
145dd928
1543acba
hex313990

3226000 has 40 divisors (see below), whose sum is σ = 7805304. Its totient is φ = 1289600.

The previous prime is 3225973. The next prime is 3226001. The reversal of 3226000 is 6223.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 3154176 = 268^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3226001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 2806.

Almost surely, 23226000 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 3226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902652).

3226000 is an abundant number, since it is smaller than the sum of its proper divisors (4579304).

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

3226000 is a wasteful number, since it uses less digits than its factorization.

3226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3226000 is about 1796.1069010502. The cubic root of 3226000 is about 147.7592873057.

The spelling of 3226000 in words is "three million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1613 2000 3226 6452 8065 12904 16130 25808 32260 40325 64520 80650 129040 161300 201625 322600 403250 645200 806500 1613000 3226000