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449328 = 243112337
BaseRepresentation
bin1101101101100110000
3211211100210
41231230300
5103334303
613344120
73550665
oct1555460
9754323
10449328
11287650
12198040
13129699
14b9a6c
158d203
hex6db30

449328 has 80 divisors (see below), whose sum is σ = 1357056. Its totient is φ = 126720.

The previous prime is 449321. The next prime is 449333. The reversal of 449328 is 823944.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 449295 and 449304.

It is not an unprimeable number, because it can be changed into a prime (449321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12126 + ... + 12162.

2449328 is an apocalyptic number.

449328 is a gapful number since it is divisible by the number (48) 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 449328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528).

449328 is an abundant number, since it is smaller than the sum of its proper divisors (907728).

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

449328 is a wasteful number, since it uses less digits than its factorization.

449328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 449328 is about 670.3193268883. The cubic root of 449328 is about 76.5927790551.

It can be divided in two parts, 449 and 328, that added together give a palindrome (777).

The spelling of 449328 in words is "four hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 37 44 46 48 66 69 74 88 92 111 132 138 148 176 184 222 253 264 276 296 368 407 444 506 528 552 592 759 814 851 888 1012 1104 1221 1518 1628 1702 1776 2024 2442 2553 3036 3256 3404 4048 4884 5106 6072 6512 6808 9361 9768 10212 12144 13616 18722 19536 20424 28083 37444 40848 56166 74888 112332 149776 224664 449328