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23430000 = 243541171
BaseRepresentation
bin101100101100…
…0001101110000
31122002100220210
41121120031300
521444230000
62154104120
7403103016
oct131301560
948070823
1023430000
1112253340
127a1b040
134b14709
14317c8b6
1520cc350
hex1658370

23430000 has 200 divisors, whose sum is σ = 83673216. Its totient is φ = 5600000.

The previous prime is 23429993. The next prime is 23430013. The reversal of 23430000 is 3432.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 329965 + ... + 330035.

Almost surely, 223430000 is an apocalyptic number.

23430000 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 23430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41836608).

23430000 is an abundant number, since it is smaller than the sum of its proper divisors (60243216).

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

23430000 is a wasteful number, since it uses less digits than its factorization.

23430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23430000 is about 4840.4545241124. The cubic root of 23430000 is about 286.1480316685.

Adding to 23430000 its reverse (3432), we get a palindrome (23433432).

The spelling of 23430000 in words is "twenty-three million, four hundred thirty thousand".