Search a number
-
+
544010430 = 2354728209
BaseRepresentation
bin100000011011001…
…111000010111110
31101220122121000110
4200123033002332
52103231313210
6125552010450
716324004145
oct4033170276
91356577013
10544010430
1125a0970a7
12132230a26
1388924182
145237075c
1532b5d420
hex206cf0be

544010430 has 48 divisors (see below), whose sum is σ = 1334157840. Its totient is φ = 141965568.

The previous prime is 544010419. The next prime is 544010459. The reversal of 544010430 is 34010445.

544010430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 544010397 and 544010406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62166 + ... + 70374.

It is an arithmetic number, because the mean of its divisors is an integer number (27794955).

Almost surely, 2544010430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544010430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667078920).

544010430 is an abundant number, since it is smaller than the sum of its proper divisors (790147410).

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

544010430 is a wasteful number, since it uses less digits than its factorization.

544010430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 544010430 is about 23324.0311695899. The cubic root of 544010430 is about 816.3362374657.

Adding to 544010430 its reverse (34010445), we get a palindrome (578020875).

The spelling of 544010430 in words is "five hundred forty-four million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2209 4418 6627 8209 11045 13254 16418 22090 24627 33135 41045 49254 66270 82090 123135 246270 385823 771646 1157469 1929115 2314938 3858230 5787345 11574690 18133681 36267362 54401043 90668405 108802086 181336810 272005215 544010430