Search a number
-
+
3240576 = 27322997
BaseRepresentation
bin1100010111001010000000
320002122020100
430113022000
51312144301
6153242400
736354513
oct14271200
96078210
103240576
111913769
121103400
13896001
14604d7a
15440286
hex317280

3240576 has 96 divisors (see below), whose sum is σ = 9746100. Its totient is φ = 1032192.

The previous prime is 3240553. The next prime is 3240577. The reversal of 3240576 is 6750423.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 576 = 1800^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3240577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33360 + ... + 33456.

Almost surely, 23240576 is an apocalyptic number.

3240576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873050).

3240576 is an abundant number, since it is smaller than the sum of its proper divisors (6505524).

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

3240576 is a wasteful number, since it uses less digits than its factorization.

3240576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3240576 is about 1800.1599928895. The cubic root of 3240576 is about 147.9814926943.

Adding to 3240576 its reverse (6750423), we get a palindrome (9990999).

The spelling of 3240576 in words is "three million, two hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 97 116 128 144 174 192 194 232 261 288 291 348 384 388 464 522 576 582 696 776 873 928 1044 1152 1164 1392 1552 1746 1856 2088 2328 2784 2813 3104 3492 3712 4176 4656 5568 5626 6208 6984 8352 8439 9312 11136 11252 12416 13968 16704 16878 18624 22504 25317 27936 33408 33756 37248 45008 50634 55872 67512 90016 101268 111744 135024 180032 202536 270048 360064 405072 540096 810144 1080192 1620288 3240576