Search a number
-
+
108234000 = 2432537859
BaseRepresentation
bin1100111001110…
…00010100010000
321112122212010200
412130320110100
5210201442000
614423455200
72452655010
oct634702420
9245585120
10108234000
1156105896
12302b7500
13195675b4
1410535c40
15977e500
hex6738510

108234000 has 240 divisors, whose sum is σ = 432531840. Its totient is φ = 24710400.

The previous prime is 108233987. The next prime is 108234001. The reversal of 108234000 is 432801.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (108234001) 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 47 ways as a sum of consecutive naturals, for example, 125571 + ... + 126429.

It is an arithmetic number, because the mean of its divisors is an integer number (1802216).

Almost surely, 2108234000 is an apocalyptic number.

108234000 is a gapful number since it is divisible by the number (10) 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 108234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216265920).

108234000 is an abundant number, since it is smaller than the sum of its proper divisors (324297840).

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

108234000 is a wasteful number, since it uses less digits than its factorization.

108234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 876 counting only the distinct ones).

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

The square root of 108234000 is about 10403.5570839978. The cubic root of 108234000 is about 476.5640043848.

Adding to 108234000 its reverse (432801), we get a palindrome (108666801).

The spelling of 108234000 in words is "one hundred eight million, two hundred thirty-four thousand".