Search a number
-
+
325005300 = 2232521093313
BaseRepresentation
bin10011010111110…
…010111111110100
3211122112222110100
4103113302333310
51131200132200
652125554100
711024333214
oct2327627764
9748488410
10325005300
11157503324
1290a15930
1352444539
1431242244
151d7ecd00
hex135f2ff4

325005300 has 108 divisors (see below), whose sum is σ = 1028367340. Its totient is φ = 85847040.

The previous prime is 325005293. The next prime is 325005301. The reversal of 325005300 is 3500523.

It can be written as a sum of positive squares in 6 ways, for example, as 14470416 + 310534884 = 3804^2 + 17622^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325005301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96444 + ... + 99756.

Almost surely, 2325005300 is an apocalyptic number.

325005300 is a gapful number since it is divisible by the number (30) 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 325005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514183670).

325005300 is an abundant number, since it is smaller than the sum of its proper divisors (703362040).

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

325005300 is a wasteful number, since it uses less digits than its factorization.

325005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 325005300 is about 18027.9033722727. The cubic root of 325005300 is about 687.5381708834.

Adding to 325005300 its reverse (3500523), we get a palindrome (328505823).

The spelling of 325005300 in words is "three hundred twenty-five million, five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3313 3924 4905 5450 6540 6626 8175 9810 9939 10900 13252 16350 16565 19620 19878 24525 29817 32700 33130 39756 49050 49695 59634 66260 82825 98100 99390 119268 149085 165650 198780 248475 298170 331300 361117 496950 596340 722234 745425 993900 1083351 1444468 1490850 1805585 2166702 2981700 3250053 3611170 4333404 5416755 6500106 7222340 9027925 10833510 13000212 16250265 18055850 21667020 27083775 32500530 36111700 54167550 65001060 81251325 108335100 162502650 325005300