Search a number
-
+
324120 = 23353773
BaseRepresentation
bin1001111001000011000
3121110121110
41033020120
540332440
610540320
72516646
oct1171030
9543543
10324120
11201575
121376a0
13b46b4
1486196
1566080
hex4f218

324120 has 64 divisors (see below), whose sum is σ = 1012320. Its totient is φ = 82944.

The previous prime is 324119. The next prime is 324131. The reversal of 324120 is 21423.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 324096 and 324105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4404 + ... + 4476.

2324120 is an apocalyptic number.

324120 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 324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506160).

324120 is an abundant number, since it is smaller than the sum of its proper divisors (688200).

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

324120 is a wasteful number, since it uses less digits than its factorization.

324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 324120 is about 569.3153783273. The cubic root of 324120 is about 68.6913328713.

Adding to 324120 its reverse (21423), we get a palindrome (345543).

It can be divided in two parts, 324 and 120, that added together give a palindrome (444).

The spelling of 324120 in words is "three hundred twenty-four thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 73 74 111 120 146 148 185 219 222 292 296 365 370 438 444 555 584 730 740 876 888 1095 1110 1460 1480 1752 2190 2220 2701 2920 4380 4440 5402 8103 8760 10804 13505 16206 21608 27010 32412 40515 54020 64824 81030 108040 162060 324120