Search a number
-
+
2423724 = 223171092
BaseRepresentation
bin1001001111101110101100
311120010201120
421033232230
51110024344
6123540540
726413152
oct11175654
94503646
102423724
111405a86
1298a750
1366b274
144713d2
1532d219
hex24fbac

2423724 has 36 divisors (see below), whose sum is σ = 6043464. Its totient is φ = 753408.

The previous prime is 2423711. The next prime is 2423731. The reversal of 2423724 is 4273242.

It is a d-powerful number, because it can be written as 213 + 46 + 217 + 33 + 76 + 221 + 48 .

It is a junction number, because it is equal to n+sod(n) for n = 2423694 and 2423703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22182 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (167874).

22423724 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 2423724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021732).

2423724 is an abundant number, since it is smaller than the sum of its proper divisors (3619740).

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

2423724 is a wasteful number, since it uses less digits than its factorization.

2423724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 131 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 2423724 is about 1556.8313974223. The cubic root of 2423724 is about 134.3263006510.

Adding to 2423724 its reverse (4273242), we get a palindrome (6696966).

The spelling of 2423724 in words is "two million, four hundred twenty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 204 218 327 436 654 1308 1853 3706 5559 7412 11118 11881 22236 23762 35643 47524 71286 142572 201977 403954 605931 807908 1211862 2423724