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505344 = 293747
BaseRepresentation
bin1111011011000000000
3221200012110
41323120000
5112132334
614455320
74203210
oct1733000
9850173
10505344
11315744
12204540
13149028
14d2240
159eae9
hex7b600

505344 has 80 divisors (see below), whose sum is σ = 1571328. Its totient is φ = 141312.

The previous prime is 505339. The next prime is 505357. The reversal of 505344 is 443505.

It is a happy number.

505344 is nontrivially palindromic in base 15.

505344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 505344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10729 + ... + 10775.

2505344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664).

505344 is an abundant number, since it is smaller than the sum of its proper divisors (1065984).

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

505344 is an equidigital number, since it uses as much as digits as its factorization.

505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 505344 is about 710.8755165287. The cubic root of 505344 is about 79.6518201668.

Adding to 505344 its reverse (443505), we get a palindrome (948849).

The spelling of 505344 in words is "five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 512 564 658 672 752 768 896 987 1128 1316 1344 1504 1536 1792 1974 2256 2632 2688 3008 3584 3948 4512 5264 5376 6016 7896 9024 10528 10752 12032 15792 18048 21056 24064 31584 36096 42112 63168 72192 84224 126336 168448 252672 505344