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23441424 = 2433767197
BaseRepresentation
bin101100101101…
…1000000010000
31122002221120220
41121123000100
522000111144
62154233040
7403151226
oct131330020
948087526
1023441424
1112260986
127a25780
134b19986
143182b16
1520d0919
hex165b010

23441424 has 80 divisors (see below), whose sum is σ = 63442368. Its totient is φ = 7451136.

The previous prime is 23441417. The next prime is 23441437. The reversal of 23441424 is 42414432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 23441394 and 23441403.

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, 118894 + ... + 119090.

Almost surely, 223441424 is an apocalyptic number.

23441424 is a gapful number since it is divisible by the number (24) 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 23441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721184).

23441424 is an abundant number, since it is smaller than the sum of its proper divisors (40000944).

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

23441424 is a wasteful number, since it uses less digits than its factorization.

23441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 23441424 is about 4841.6344347751. The cubic root of 23441424 is about 286.1945308002.

Adding to 23441424 its reverse (42414432), we get a palindrome (65855856).

The spelling of 23441424 in words is "twenty-three million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 67 74 111 134 148 197 201 222 268 296 394 402 444 536 591 592 788 804 888 1072 1182 1576 1608 1776 2364 2479 3152 3216 4728 4958 7289 7437 9456 9916 13199 14578 14874 19832 21867 26398 29156 29748 39597 39664 43734 52796 58312 59496 79194 87468 105592 116624 118992 158388 174936 211184 316776 349872 488363 633552 976726 1465089 1953452 2930178 3906904 5860356 7813808 11720712 23441424