Search a number
-
+
3244248 = 2332741157
BaseRepresentation
bin1100011000000011011000
320002211021100
430120003120
51312303443
6153311400
736401310
oct14300330
96084240
103244248
1119164a7
121105560
13897897
14606440
154413d3
hex3180d8

3244248 has 96 divisors (see below), whose sum is σ = 10352160. Its totient is φ = 898560.

The previous prime is 3244247. The next prime is 3244253. The reversal of 3244248 is 8424423.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20586 + ... + 20742.

It is an arithmetic number, because the mean of its divisors is an integer number (107835).

Almost surely, 23244248 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 3244248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176080).

3244248 is an abundant number, since it is smaller than the sum of its proper divisors (7107912).

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

3244248 is a wasteful number, since it uses less digits than its factorization.

3244248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3244248 is about 1801.1796134756. The cubic root of 3244248 is about 148.0373657785.

The spelling of 3244248 in words is "three million, two hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 157 164 168 246 252 287 314 328 369 471 492 504 574 628 738 861 942 984 1099 1148 1256 1413 1476 1722 1884 2198 2296 2583 2826 2952 3297 3444 3768 4396 5166 5652 6437 6594 6888 8792 9891 10332 11304 12874 13188 19311 19782 20664 25748 26376 38622 39564 45059 51496 57933 77244 79128 90118 115866 135177 154488 180236 231732 270354 360472 405531 463464 540708 811062 1081416 1622124 3244248