Search a number
-
+
3280960 = 26510253
BaseRepresentation
bin1100100001000001000000
320011200122001
430201001000
51314442320
6154153344
736613324
oct14410100
96150561
103280960
111941041
121122854
138ab4c7
14615984
1544c20a
hex321040

3280960 has 28 divisors (see below), whose sum is σ = 7813548. Its totient is φ = 1312256.

The previous prime is 3280957. The next prime is 3280961. The reversal of 3280960 is 690823.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 2534464 = 864^2 + 1592^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3280961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4807 + ... + 5446.

Almost surely, 23280960 is an apocalyptic number.

It is an amenable number.

3280960 is an abundant number, since it is smaller than the sum of its proper divisors (4532588).

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

3280960 is a wasteful number, since it uses less digits than its factorization.

3280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3280960 is about 1811.3420439000. The cubic root of 3280960 is about 148.5936709444.

The spelling of 3280960 in words is "three million, two hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 10253 20506 41012 51265 82024 102530 164048 205060 328096 410120 656192 820240 1640480 3280960