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23454144 = 263372277
BaseRepresentation
bin101100101111…
…0000111000000
31122010121001000
41121132013000
522001013034
62154412000
7403233300
oct131360700
948117030
1023454144
111226a49a
127a31000
134b226bc
143187600
1520d4599
hex165e1c0

23454144 has 168 divisors, whose sum is σ = 80497680. Its totient is φ = 6676992.

The previous prime is 23454139. The next prime is 23454149. The reversal of 23454144 is 44145432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23454139) and next prime (23454149).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23454149) 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 23 ways as a sum of consecutive naturals, for example, 84534 + ... + 84810.

Almost surely, 223454144 is an apocalyptic number.

23454144 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 23454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40248840).

23454144 is an abundant number, since it is smaller than the sum of its proper divisors (57043536).

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

23454144 is a wasteful number, since it uses less digits than its factorization.

23454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 23454144 is about 4842.9478626143. The cubic root of 23454144 is about 286.2462872716.

Adding to 23454144 its reverse (44145432), we get a palindrome (67599576).

The spelling of 23454144 in words is "twenty-three million, four hundred fifty-four thousand, one hundred forty-four".