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23430024 = 2332417937
BaseRepresentation
bin101100101100…
…0001110001000
31122002100221200
41121120032020
521444230044
62154104200
7403103052
oct131301610
948070850
1023430024
1112253362
127a1b060
134b14727
14317c8d2
1520cc369
hex1658388

23430024 has 48 divisors (see below), whose sum is σ = 65012220. Its totient is φ = 7618560.

The previous prime is 23430013. The next prime is 23430037. The reversal of 23430024 is 42003432.

It can be written as a sum of positive squares in 2 ways, for example, as 23328900 + 101124 = 4830^2 + 318^2 .

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 = 23429979 and 23430006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017 + ... + 6920.

Almost surely, 223430024 is an apocalyptic number.

23430024 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 23430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32506110).

23430024 is an abundant number, since it is smaller than the sum of its proper divisors (41582196).

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

23430024 is a wasteful number, since it uses less digits than its factorization.

23430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7990 (or 7983 counting only the distinct ones).

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

The square root of 23430024 is about 4840.4570032178. The cubic root of 23430024 is about 286.1481293716.

Adding to 23430024 its reverse (42003432), we get a palindrome (65433456).

The spelling of 23430024 in words is "twenty-three million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 7937 15874 23811 31748 47622 63496 71433 95244 142866 190488 285732 325417 571464 650834 976251 1301668 1952502 2603336 2928753 3905004 5857506 7810008 11715012 23430024