Search a number
-
+
2331324 = 2232312089
BaseRepresentation
bin1000111001001010111100
311101102222100
420321022330
51044100244
6121545100
725546602
oct10711274
94342870
102331324
111352616
12945190
136381a8
14449872
15310b69
hex2392bc

2331324 has 36 divisors (see below), whose sum is σ = 6086080. Its totient is φ = 751680.

The previous prime is 2331323. The next prime is 2331337. The reversal of 2331324 is 4231332.

2331324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2331297 and 2331306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 2160.

22331324 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 2331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043040).

2331324 is an abundant number, since it is smaller than the sum of its proper divisors (3754756).

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

2331324 is a wasteful number, since it uses less digits than its factorization.

2331324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2125 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 2331324 is about 1526.8673812745. The cubic root of 2331324 is about 132.5971566994.

Adding to 2331324 its reverse (4231332), we get a palindrome (6562656).

The spelling of 2331324 in words is "two million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2089 4178 6267 8356 12534 18801 25068 37602 64759 75204 129518 194277 259036 388554 582831 777108 1165662 2331324