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23280312 = 23311163541
BaseRepresentation
bin101100011001…
…1101010111000
31121210202120210
41120303222320
521424432222
62150551120
7401610426
oct130635270
947722523
1023280312
1112160930
1279684a0
134a91543
143140116
15209cd0c
hex1633ab8

23280312 has 64 divisors (see below), whose sum is σ = 63999360. Its totient is φ = 6998400.

The previous prime is 23280307. The next prime is 23280317. The reversal of 23280312 is 21308232.

It is an interprime number because it is at equal distance from previous prime (23280307) and next prime (23280317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23280317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42762 + ... + 43302.

It is an arithmetic number, because the mean of its divisors is an integer number (999990).

Almost surely, 223280312 is an apocalyptic number.

23280312 is a gapful number since it is divisible by the number (22) 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 23280312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31999680).

23280312 is an abundant number, since it is smaller than the sum of its proper divisors (40719048).

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

23280312 is a wasteful number, since it uses less digits than its factorization.

23280312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23280312 is about 4824.9675646578. The cubic root of 23280312 is about 285.5373549331.

Adding to 23280312 its reverse (21308232), we get a palindrome (44588544).

The spelling of 23280312 in words is "twenty-three million, two hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 541 652 978 1082 1304 1623 1793 1956 2164 3246 3586 3912 4328 5379 5951 6492 7172 10758 11902 12984 14344 17853 21516 23804 35706 43032 47608 71412 88183 142824 176366 264549 352732 529098 705464 970013 1058196 1940026 2116392 2910039 3880052 5820078 7760104 11640156 23280312