Search a number
-
+
255344320 = 26571143241
BaseRepresentation
bin11110011100000…
…11111011000000
3122210110211120001
433032003323000
51010332004240
641200525344
76220251040
oct1716037300
9583424501
10255344320
11121153a70
1271620854
1340b9411a
1425cab720
151763c89a
hexf383ec0

255344320 has 224 divisors, whose sum is σ = 778922496. Its totient is φ = 77414400.

The previous prime is 255344239. The next prime is 255344339. The reversal of 255344320 is 23443552.

255344320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059400 + ... + 1059640.

Almost surely, 2255344320 is an apocalyptic number.

255344320 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 255344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389461248).

255344320 is an abundant number, since it is smaller than the sum of its proper divisors (523578176).

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

255344320 is a wasteful number, since it uses less digits than its factorization.

255344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 255344320 is about 15979.4968631681. The cubic root of 255344320 is about 634.4178598527.

Adding to 255344320 its reverse (23443552), we get a palindrome (278787872).

The spelling of 255344320 in words is "two hundred fifty-five million, three hundred forty-four thousand, three hundred twenty".