Search a number
-
+
3248180 = 225132312
BaseRepresentation
bin1100011001000000110100
320010000122222
430121000310
51312420210
6153341512
736415625
oct14310064
96100588
103248180
111919451
121107898
13899600
14607a4c
15442655
hex319034

3248180 has 54 divisors (see below), whose sum is σ = 7632198. Its totient is φ = 1160640.

The previous prime is 3248171. The next prime is 3248197. The reversal of 3248180 is 818423.

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 3232804 = 124^2 + 1798^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104765 + ... + 104795.

It is an arithmetic number, because the mean of its divisors is an integer number (141337).

Almost surely, 23248180 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 3248180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816099).

3248180 is an abundant number, since it is smaller than the sum of its proper divisors (4384018).

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

3248180 is a wasteful number, since it uses less digits than its factorization.

3248180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 3248180 is about 1802.2707898648. The cubic root of 3248180 is about 148.0971482941.

The spelling of 3248180 in words is "three million, two hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 403 620 676 806 845 961 1612 1690 1922 2015 3380 3844 4030 4805 5239 8060 9610 10478 12493 19220 20956 24986 26195 49972 52390 62465 104780 124930 162409 249860 324818 649636 812045 1624090 3248180