Search a number
-
+
255424344 = 233729103509
BaseRepresentation
bin11110011100101…
…11011101011000
3122210121220022220
433032113131120
51010342034334
641202344040
76221033250
oct1716273530
9583556286
10255424344
111211a90aa
127165b020
1340bc1686
1425ccc960
1517656449
hexf397758

255424344 has 128 divisors (see below), whose sum is σ = 763776000. Its totient is φ = 69640704.

The previous prime is 255424327. The next prime is 255424349. The reversal of 255424344 is 443424552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255424349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501562 + ... + 502070.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2255424344 is an apocalyptic number.

255424344 is a gapful number since it is divisible by the number (24) 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 255424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

255424344 is an abundant number, since it is smaller than the sum of its proper divisors (508351656).

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

255424344 is a wasteful number, since it uses less digits than its factorization.

255424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its digits is 76800, while the sum is 33.

The square root of 255424344 is about 15982.0006257039. Note that the first 3 decimals coincide. The cubic root of 255424344 is about 634.4841276960.

Adding to 255424344 its reverse (443424552), we get a palindrome (698848896).

The spelling of 255424344 in words is "two hundred fifty-five million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 103 116 168 174 203 206 232 309 348 406 412 509 609 618 696 721 812 824 1018 1218 1236 1442 1527 1624 2036 2163 2436 2472 2884 2987 3054 3563 4072 4326 4872 5768 5974 6108 7126 8652 8961 10689 11948 12216 14252 14761 17304 17922 20909 21378 23896 28504 29522 35844 41818 42756 44283 52427 59044 62727 71688 83636 85512 88566 103327 104854 118088 125454 157281 167272 177132 206654 209708 250908 309981 314562 354264 366989 413308 419416 501816 619962 629124 733978 826616 1100967 1239924 1258248 1467956 1520383 2201934 2479848 2935912 3040766 4403868 4561149 6081532 8807736 9122298 10642681 12163064 18244596 21285362 31928043 36489192 42570724 63856086 85141448 127712172 255424344