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23310640 = 245674349
BaseRepresentation
bin101100011101…
…1000100110000
31121212022012001
41120323010300
521431420030
62151343344
7402065023
oct130730460
947768161
1023310640
11121816a1
127981b54
134aa22a2
14314b1ba
1520a6cca
hex163b130

23310640 has 40 divisors (see below), whose sum is σ = 55018800. Its totient is φ = 9182976.

The previous prime is 23310593. The next prime is 23310643. The reversal of 23310640 is 4601332.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (23310643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3186 + ... + 7534.

It is an arithmetic number, because the mean of its divisors is an integer number (1375470).

Almost surely, 223310640 is an apocalyptic number.

23310640 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 23310640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27509400).

23310640 is an abundant number, since it is smaller than the sum of its proper divisors (31708160).

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

23310640 is a wasteful number, since it uses less digits than its factorization.

23310640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 23310640 is about 4828.1093608161. The cubic root of 23310640 is about 285.6612939817.

Adding to 23310640 its reverse (4601332), we get a palindrome (27911972).

The spelling of 23310640 in words is "twenty-three million, three hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 4349 5360 8698 17396 21745 34792 43490 69584 86980 173960 291383 347920 582766 1165532 1456915 2331064 2913830 4662128 5827660 11655320 23310640