Search a number
-
+
324133500 = 22353281769
BaseRepresentation
bin10011010100011…
…110001001111100
3211120220200120110
4103110132021330
51130434233000
652055150020
711014042425
oct2324361174
9746820513
10324133500
11156a68329
1290675310
13521ca792
143109664c
151d6c9850
hex1351e27c

324133500 has 96 divisors (see below), whose sum is σ = 948467520. Its totient is φ = 86016000.

The previous prime is 324133477. The next prime is 324133501. The reversal of 324133500 is 5331423.

324133500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

324133500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324133501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421116 + ... + 421884.

It is an arithmetic number, because the mean of its divisors is an integer number (9879870).

Almost surely, 2324133500 is an apocalyptic number.

324133500 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 324133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474233760).

324133500 is an abundant number, since it is smaller than the sum of its proper divisors (624334020).

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

324133500 is a wasteful number, since it uses less digits than its factorization.

324133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 324133500 is about 18003.7079514193. The cubic root of 324133500 is about 686.9228655117.

Adding to 324133500 its reverse (5331423), we get a palindrome (329464923).

The spelling of 324133500 in words is "three hundred twenty-four million, one hundred thirty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 281 300 375 500 562 750 769 843 1124 1405 1500 1538 1686 2307 2810 3076 3372 3845 4215 4614 5620 7025 7690 8430 9228 11535 14050 15380 16860 19225 21075 23070 28100 35125 38450 42150 46140 57675 70250 76900 84300 96125 105375 115350 140500 192250 210750 216089 230700 288375 384500 421500 432178 576750 648267 864356 1080445 1153500 1296534 2160890 2593068 3241335 4321780 5402225 6482670 10804450 12965340 16206675 21608900 27011125 32413350 54022250 64826700 81033375 108044500 162066750 324133500