Search a number
-
+
54234000 = 24325323131
BaseRepresentation
bin1100111011100…
…0101110010000
310210001101001200
43032320232100
5102340442000
65214231200
71225660422
oct316705620
9123041050
1054234000
1128682897
12161b5500
13b30b632
1472ba812
154b64500
hex33b8b90

54234000 has 240 divisors, whose sum is σ = 199165824. Its totient is φ = 13728000.

The previous prime is 54233987. The next prime is 54234013. The reversal of 54234000 is 43245.

It is a happy number.

54234000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54233987) and next prime (54234013).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413935 + ... + 414065.

Almost surely, 254234000 is an apocalyptic number.

54234000 is a gapful number since it is divisible by the number (50) 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 54234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912).

54234000 is an abundant number, since it is smaller than the sum of its proper divisors (144931824).

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

54234000 is a wasteful number, since it uses less digits than its factorization.

54234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54234000 is about 7364.3737004582. The cubic root of 54234000 is about 378.5214940326.

Adding to 54234000 its reverse (43245), we get a palindrome (54277245).

The spelling of 54234000 in words is "fifty-four million, two hundred thirty-four thousand".