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441324 = 2232132341
BaseRepresentation
bin1101011101111101100
3211102101100
41223233230
5103110244
613243100
73515442
oct1535754
9742340
10441324
11281634
12193490
13125b50
14b6b92
158ab69
hex6bbec

441324 has 72 divisors (see below), whose sum is σ = 1284192. Its totient is φ = 126720.

The previous prime is 441319. The next prime is 441349. The reversal of 441324 is 423144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 441297 and 441306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10744 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2441324 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 441324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096).

441324 is an abundant number, since it is smaller than the sum of its proper divisors (842868).

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

441324 is a wasteful number, since it uses less digits than its factorization.

441324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 441324 is about 664.3222109790. The cubic root of 441324 is about 76.1352623534.

Adding to 441324 its reverse (423144), we get a palindrome (864468).

It can be divided in two parts, 441 and 324, that multiplied together give a square (142884 = 3782).

The spelling of 441324 in words is "four hundred forty-one thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 78 82 92 117 123 138 156 164 207 234 246 276 299 369 414 468 492 533 598 738 828 897 943 1066 1196 1476 1599 1794 1886 2132 2691 2829 3198 3588 3772 4797 5382 5658 6396 8487 9594 10764 11316 12259 16974 19188 24518 33948 36777 49036 73554 110331 147108 220662 441324