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449384 = 231329149
BaseRepresentation
bin1101101101101101000
3211211102212
41231231220
5103340014
613344252
73551105
oct1555550
9754385
10449384
112876a1
12198088
13129710
14b9aac
158d23e
hex6db68

449384 has 32 divisors (see below), whose sum is σ = 945000. Its totient is φ = 198912.

The previous prime is 449381. The next prime is 449399. The reversal of 449384 is 483944.

It can be written as a sum of positive squares in 4 ways, for example, as 220900 + 228484 = 470^2 + 478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 449384.

It is not an unprimeable number, because it can be changed into a prime (449381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2942 + ... + 3090.

2449384 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 449384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472500).

449384 is an abundant number, since it is smaller than the sum of its proper divisors (495616).

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

449384 is a wasteful number, since it uses less digits than its factorization.

449384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 449384 is about 670.3610967233. The cubic root of 449384 is about 76.5959608566.

The spelling of 449384 in words is "four hundred forty-nine thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 149 232 298 377 596 754 1192 1508 1937 3016 3874 4321 7748 8642 15496 17284 34568 56173 112346 224692 449384