Search a number
-
+
24023034 = 233731297
BaseRepresentation
bin101101110100…
…0111111111010
31200012111102000
41123220333322
522122214114
62214521430
7411123000
oct133507772
950174360
1024023034
1112618952
128066276
134c91619
143294a70
152197e09
hex16e8ffa

24023034 has 64 divisors (see below), whose sum is σ = 62304000. Its totient is φ = 6858432.

The previous prime is 24023033. The next prime is 24023099. The reversal of 24023034 is 43032042.

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

It is a junction number, because it is equal to n+sod(n) for n = 24022998 and 24023016.

It is not an unprimeable number, because it can be changed into a prime (24023033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17874 + ... + 19170.

It is an arithmetic number, because the mean of its divisors is an integer number (973500).

Almost surely, 224023034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24023034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31152000).

24023034 is an abundant number, since it is smaller than the sum of its proper divisors (38280966).

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

24023034 is a wasteful number, since it uses less digits than its factorization.

24023034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 24023034 is about 4901.3298195490. The cubic root of 24023034 is about 288.5421644903.

Adding to 24023034 its reverse (43032042), we get a palindrome (67055076).

The spelling of 24023034 in words is "twenty-four million, twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1297 1323 2058 2594 2646 3087 3891 6174 7782 9079 9261 11673 18158 18522 23346 27237 35019 54474 63553 70038 81711 127106 163422 190659 245133 381318 444871 490266 571977 889742 1143954 1334613 1715931 2669226 3431862 4003839 8007678 12011517 24023034