Search a number
-
+
3280224 = 25347727
BaseRepresentation
bin1100100000110101100000
320011122121210
430200311200
51314431344
6154150120
736611223
oct14406540
96148553
103280224
111940532
121122340
138ab07c
146155ba
1544bdb9
hex320d60

3280224 has 48 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1068672.

The previous prime is 3280213. The next prime is 3280229. The reversal of 3280224 is 4220823.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3280224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280229) 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, 4149 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 23280224 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 3280224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

3280224 is an abundant number, since it is smaller than the sum of its proper divisors (5525664).

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

3280224 is a wasteful number, since it uses less digits than its factorization.

3280224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3280224 is about 1811.1388682263. The cubic root of 3280224 is about 148.5825590421.

The spelling of 3280224 in words is "three million, two hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 727 752 1128 1454 1504 2181 2256 2908 4362 4512 5816 8724 11632 17448 23264 34169 34896 68338 69792 102507 136676 205014 273352 410028 546704 820056 1093408 1640112 3280224