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23324112 = 24357857
BaseRepresentation
bin101100011111…
…0010111010000
31121212222200000
41120332113100
521432332422
62151530000
7402152220
oct130762720
947788600
1023324112
1112190829
127989900
134aa8466
143152080
1520aacac
hex163e5d0

23324112 has 120 divisors (see below), whose sum is σ = 77453376. Its totient is φ = 6656256.

The previous prime is 23324101. The next prime is 23324117. The reversal of 23324112 is 21142332.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23324117) 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 23 ways as a sum of consecutive naturals, for example, 26788 + ... + 27644.

Almost surely, 223324112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38726688).

23324112 is an abundant number, since it is smaller than the sum of its proper divisors (54129264).

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

23324112 is an equidigital number, since it uses as much as digits as its factorization.

23324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 23324112 is about 4829.5043223917. The cubic root of 23324112 is about 285.7163144618.

Adding to 23324112 its reverse (21142332), we get a palindrome (44466444).

It can be divided in two parts, 23324 and 112, that added together give a triangular number (23436 = T216).

The spelling of 23324112 in words is "twenty-three million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 857 972 1008 1134 1296 1512 1701 1714 1944 2268 2571 3024 3402 3428 3888 4536 5142 5999 6804 6856 7713 9072 10284 11998 13608 13712 15426 17997 20568 23139 23996 27216 30852 35994 41136 46278 47992 53991 61704 69417 71988 92556 95984 107982 123408 138834 143976 161973 185112 208251 215964 277668 287952 323946 370224 416502 431928 485919 555336 647892 833004 863856 971838 1110672 1295784 1457757 1666008 1943676 2591568 2915514 3332016 3887352 5831028 7774704 11662056 23324112