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23313024 = 27327359
BaseRepresentation
bin101100011101…
…1101010000000
31121212102110100
41120323222000
521432004044
62151402400
7402105000
oct130735200
947772410
1023313024
1112183469
127983400
134aa33b7
14314c000
1520a7869
hex163ba80

23313024 has 192 divisors, whose sum is σ = 79560000. Its totient is φ = 6547968.

The previous prime is 23313011. The next prime is 23313067. The reversal of 23313024 is 42031332.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 23312988 and 23313006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395107 + ... + 395165.

It is an arithmetic number, because the mean of its divisors is an integer number (414375).

Almost surely, 223313024 is an apocalyptic number.

23313024 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 23313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780000).

23313024 is an abundant number, since it is smaller than the sum of its proper divisors (56246976).

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

23313024 is an equidigital number, since it uses as much as digits as its factorization.

23313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23313024 is about 4828.3562420352. The cubic root of 23313024 is about 285.6710319284.

Adding to 23313024 its reverse (42031332), we get a palindrome (65344356).

The spelling of 23313024 in words is "twenty-three million, three hundred thirteen thousand, twenty-four".