Search a number
-
+
24343020 = 2232513101103
BaseRepresentation
bin101110011011…
…1000111101100
31200210202100100
41130313013230
522212434040
62225431100
7413624622
oct134670754
950722310
1024343020
11128172a9
12819b490
135074170
143339512
15220cb30
hex17371ec

24343020 has 144 divisors (see below), whose sum is σ = 81087552. Its totient is φ = 5875200.

The previous prime is 24343001. The next prime is 24343021. The reversal of 24343020 is 2034342.

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 = 24342984 and 24343002.

It is not an unprimeable number, because it can be changed into a prime (24343021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236289 + ... + 236391.

It is an arithmetic number, because the mean of its divisors is an integer number (563108).

Almost surely, 224343020 is an apocalyptic number.

24343020 is a gapful number since it is divisible by the number (20) 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 24343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40543776).

24343020 is an abundant number, since it is smaller than the sum of its proper divisors (56744532).

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

24343020 is a wasteful number, since it uses less digits than its factorization.

24343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

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

The square root of 24343020 is about 4933.8646110326. The cubic root of 24343020 is about 289.8176419925.

Adding to 24343020 its reverse (2034342), we get a palindrome (26377362).

The spelling of 24343020 in words is "twenty-four million, three hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 101 103 117 130 156 180 195 202 206 234 260 303 309 390 404 412 468 505 515 585 606 618 780 909 927 1010 1030 1170 1212 1236 1313 1339 1515 1545 1818 1854 2020 2060 2340 2626 2678 3030 3090 3636 3708 3939 4017 4545 4635 5252 5356 6060 6180 6565 6695 7878 8034 9090 9270 10403 11817 12051 13130 13390 15756 16068 18180 18540 19695 20085 20806 23634 24102 26260 26780 31209 39390 40170 41612 47268 48204 52015 59085 60255 62418 78780 80340 93627 104030 118170 120510 124836 135239 156045 187254 208060 236340 241020 270478 312090 374508 405717 468135 540956 624180 676195 811434 936270 1217151 1352390 1622868 1872540 2028585 2434302 2704780 4057170 4868604 6085755 8114340 12171510 24343020