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23814000 = 24355372
BaseRepresentation
bin101101011010…
…1111101110000
31122210212200000
41122311331300
522044022000
62210230000
7406262400
oct132657560
948725600
1023814000
11124958a1
127b85300
134c1a432
14323c800
152156000
hex16b5f70

23814000 has 360 divisors, whose sum is σ = 100337328. Its totient is φ = 5443200.

The previous prime is 23813971. The next prime is 23814023. The reversal of 23814000 is 41832.

Adding to 23814000 its reverse (41832), we get a palindrome (23855832).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3401997 + ... + 3402003.

Almost surely, 223814000 is an apocalyptic number.

23814000 is a gapful number since it is divisible by the number (20) 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 23814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168664).

23814000 is an abundant number, since it is smaller than the sum of its proper divisors (76523328).

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

23814000 is an equidigital number, since it uses as much as digits as its factorization.

23814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23814000 is about 4879.9590162213. The cubic root of 23814000 is about 287.7028184497.

The spelling of 23814000 in words is "twenty-three million, eight hundred fourteen thousand".