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23461104 = 2432379269
BaseRepresentation
bin101100101111…
…1110011110000
31122010221120210
41121133303300
522001223404
62154504120
7403262502
oct131376360
948127523
1023461104
1112274747
127a35040
134b25914
143189d72
1520d6689
hex165fcf0

23461104 has 80 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 7358208.

The previous prime is 23461073. The next prime is 23461111. The reversal of 23461104 is 40116432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87082 + ... + 87350.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 223461104 is an apocalyptic number.

23461104 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 23461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

23461104 is an abundant number, since it is smaller than the sum of its proper divisors (40820496).

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

23461104 is a wasteful number, since it uses less digits than its factorization.

23461104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

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

The square root of 23461104 is about 4843.6663799234. Note that the first 3 decimals coincide. The cubic root of 23461104 is about 286.2745989297.

Adding to 23461104 its reverse (40116432), we get a palindrome (63577536).

The spelling of 23461104 in words is "twenty-three million, four hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 138 158 184 237 269 276 316 368 474 538 552 632 807 948 1076 1104 1264 1614 1817 1896 2152 3228 3634 3792 4304 5451 6187 6456 7268 10902 12374 12912 14536 18561 21251 21804 24748 29072 37122 42502 43608 49496 63753 74244 85004 87216 98992 127506 148488 170008 255012 296976 340016 488773 510024 977546 1020048 1466319 1955092 2932638 3910184 5865276 7820368 11730552 23461104