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325312 = 26131723
BaseRepresentation
bin1001111011011000000
3121112020121
41033123000
540402222
610550024
72523301
oct1173300
9545217
10325312
11202459
12138314
13b50c0
14867a8
15665c7
hex4f6c0

325312 has 56 divisors (see below), whose sum is σ = 768096. Its totient is φ = 135168.

The previous prime is 325309. The next prime is 325319. The reversal of 325312 is 213523.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (325319) 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, 14133 + ... + 14155.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2325312 is an apocalyptic number.

325312 is a gapful number since it is divisible by the number (32) 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 325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048).

325312 is an abundant number, since it is smaller than the sum of its proper divisors (442784).

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

325312 is a wasteful number, since it uses less digits than its factorization.

325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 325312 is about 570.3612890090. The cubic root of 325312 is about 68.7754374190.

Adding to 325312 its reverse (213523), we get a palindrome (538835).

The spelling of 325312 in words is "three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 136 184 208 221 272 299 368 391 416 442 544 598 736 782 832 884 1088 1196 1472 1564 1768 2392 3128 3536 4784 5083 6256 7072 9568 10166 12512 14144 19136 20332 25024 40664 81328 162656 325312