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23400144 = 243354167
BaseRepresentation
bin101100101000…
…0111011010000
31122000211222000
41121100323100
521442301034
62153314000
7402616665
oct131207320
948024860
1023400144
1112232969
127a05900
134b03c51
143171a6c
1520c3599
hex1650ed0

23400144 has 40 divisors (see below), whose sum is σ = 67168320. Its totient is φ = 7799904.

The previous prime is 23400103. The next prime is 23400161. The reversal of 23400144 is 44100432.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 26652 + ... + 27515.

It is an arithmetic number, because the mean of its divisors is an integer number (1679208).

Almost surely, 223400144 is an apocalyptic number.

23400144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23400144 is an abundant number, since it is smaller than the sum of its proper divisors (43768176).

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

23400144 is a wasteful number, since it uses less digits than its factorization.

23400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54184 (or 54172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23400144 is about 4837.3695331244. The cubic root of 23400144 is about 286.0264373168.

Adding to 23400144 its reverse (44100432), we get a palindrome (67500576).

The spelling of 23400144 in words is "twenty-three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 54167 108334 162501 216668 325002 433336 487503 650004 866672 975006 1300008 1462509 1950012 2600016 2925018 3900024 5850036 7800048 11700072 23400144