Search a number
-
+
2434300 = 2252112213
BaseRepresentation
bin1001010010010011111100
311120200020021
421102103330
51110344200
6124101524
726456041
oct11222374
94520207
102434300
111412a20
129948a4
1367301b
144751c8
1533141a
hex2524fc

2434300 has 36 divisors (see below), whose sum is σ = 5765256. Its totient is φ = 884800.

The previous prime is 2434291. The next prime is 2434319. The reversal of 2434300 is 34342.

2434300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 7 + ... + 2206.

It is an arithmetic number, because the mean of its divisors is an integer number (160146).

22434300 is an apocalyptic number.

2434300 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 2434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882628).

2434300 is an abundant number, since it is smaller than the sum of its proper divisors (3330956).

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

2434300 is a wasteful number, since it uses less digits than its factorization.

2434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2434300 is about 1560.2243428430. The cubic root of 2434300 is about 134.5213962451.

Adding to 2434300 its reverse (34342), we get a palindrome (2468642).

The spelling of 2434300 in words is "two million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2213 4426 8852 11065 22130 24343 44260 48686 55325 97372 110650 121715 221300 243430 486860 608575 1217150 2434300