Search a number
-
+
3284240 = 24561673
BaseRepresentation
bin1100100001110100010000
320011212010112
430201310100
51320043430
6154220452
736626021
oct14416420
96155115
103284240
111943553
121124728
138acb4b
14616c48
1544d195
hex321d10

3284240 has 40 divisors (see below), whose sum is σ = 7772568. Its totient is φ = 1290240.

The previous prime is 3284201. The next prime is 3284243. The reversal of 3284240 is 424823.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 3268864 = 124^2 + 1808^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284243) 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, 4544 + ... + 5216.

Almost surely, 23284240 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 3284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886284).

3284240 is an abundant number, since it is smaller than the sum of its proper divisors (4488328).

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

3284240 is a wasteful number, since it uses less digits than its factorization.

3284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3284240 is about 1812.2472237529. The cubic root of 3284240 is about 148.6431711838.

The spelling of 3284240 in words is "three million, two hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 673 976 1220 1346 2440 2692 3365 4880 5384 6730 10768 13460 26920 41053 53840 82106 164212 205265 328424 410530 656848 821060 1642120 3284240