Search a number
-
+
324345528 = 2332131971759
BaseRepresentation
bin10011010101010…
…001111010111000
3211121022110102100
4103111101322320
51131013024103
652103503400
711015614533
oct2325217270
9747273370
10324345528
111570a2661
1290757b60
1352273140
143110da1a
151d71c5a3
hex13551eb8

324345528 has 96 divisors (see below), whose sum is σ = 951350400. Its totient is φ = 99235584.

The previous prime is 324345503. The next prime is 324345577. The reversal of 324345528 is 825543423.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 324345492 and 324345501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183513 + ... + 185271.

It is an arithmetic number, because the mean of its divisors is an integer number (9909900).

Almost surely, 2324345528 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 324345528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475675200).

324345528 is an abundant number, since it is smaller than the sum of its proper divisors (627004872).

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

324345528 is a wasteful number, since it uses less digits than its factorization.

324345528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 324345528 is about 18009.5954424301. The cubic root of 324345528 is about 687.0726136198.

The spelling of 324345528 in words is "three hundred twenty-four million, three hundred forty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 197 234 312 394 468 591 788 936 1182 1576 1759 1773 2364 2561 3518 3546 4728 5122 5277 7036 7092 7683 10244 10554 14072 14184 15366 15831 20488 21108 22867 23049 30732 31662 42216 45734 46098 61464 63324 68601 91468 92196 126648 137202 182936 184392 205803 274404 346523 411606 548808 693046 823212 1039569 1386092 1646424 2079138 2772184 3118707 4158276 4504799 6237414 8316552 9009598 12474828 13514397 18019196 24949656 27028794 36038392 40543191 54057588 81086382 108115176 162172764 324345528