Search a number
-
+
14034600 = 23335223113
BaseRepresentation
bin110101100010…
…011010101000
3222102000212000
4311202122220
512043101400
61220451000
7230202126
oct65423250
928360760
1014034600
117a16448
124849a60
132ba50c8
141c14916
151373600
hexd626a8

14034600 has 192 divisors, whose sum is σ = 50889600. Its totient is φ = 3548160.

The previous prime is 14034569. The next prime is 14034617. The reversal of 14034600 is 643041.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124144 + ... + 124256.

It is an arithmetic number, because the mean of its divisors is an integer number (265050).

Almost surely, 214034600 is an apocalyptic number.

14034600 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 14034600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

14034600 is an abundant number, since it is smaller than the sum of its proper divisors (36855000).

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

14034600 is a wasteful number, since it uses less digits than its factorization.

14034600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14034600 is about 3746.2781530474. The cubic root of 14034600 is about 241.2126128896.

Adding to 14034600 its reverse (643041), we get a palindrome (14677641).

The spelling of 14034600 in words is "fourteen million, thirty-four thousand, six hundred".