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601328 = 24721359
BaseRepresentation
bin10010010110011110000
31010112212102
42102303300
5123220303
620515532
75053100
oct2226360
91115772
10601328
11380872
1224bba8
13180920
14119200
15bd288
hex92cf0

601328 has 60 divisors (see below), whose sum is σ = 1484280. Its totient is φ = 233856.

The previous prime is 601319. The next prime is 601333. The reversal of 601328 is 823106.

It is a congruent number.

It is an unprimeable number.

601328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10163 + ... + 10221.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2601328 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 601328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742140).

601328 is an abundant number, since it is smaller than the sum of its proper divisors (882952).

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

601328 is a wasteful number, since it uses less digits than its factorization.

601328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 601328 is about 775.4534157511. The cubic root of 601328 is about 84.4054472649.

It can be divided in two parts, 601 and 328, that added together give a palindrome (929).

The spelling of 601328 in words is "six hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 59 91 98 104 112 118 182 196 208 236 364 392 413 472 637 728 767 784 826 944 1274 1456 1534 1652 2548 2891 3068 3304 5096 5369 5782 6136 6608 10192 10738 11564 12272 21476 23128 37583 42952 46256 75166 85904 150332 300664 601328