Search a number
-
+
325008 = 24323761
BaseRepresentation
bin1001111010110010000
3121111211100
41033112100
540400013
610544400
72522355
oct1172620
9544740
10325008
11202202
12138100
13b4c18
148662c
1566473
hex4f590

325008 has 60 divisors (see below), whose sum is σ = 949468. Its totient is φ = 103680.

The previous prime is 325001. The next prime is 325009. The reversal of 325008 is 800523.

325008 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 186624 = 372^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325008.

It is not an unprimeable number, because it can be changed into a prime (325001) 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, 5298 + ... + 5358.

2325008 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 325008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474734).

325008 is an abundant number, since it is smaller than the sum of its proper divisors (624460).

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

325008 is a wasteful number, since it uses less digits than its factorization.

325008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 325008 is about 570.0947289705. The cubic root of 325008 is about 68.7540074799.

The spelling of 325008 in words is "three hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 61 72 74 111 122 144 148 183 222 244 296 333 366 444 488 549 592 666 732 888 976 1098 1332 1464 1776 2196 2257 2664 2928 4392 4514 5328 6771 8784 9028 13542 18056 20313 27084 36112 40626 54168 81252 108336 162504 325008