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448340 = 22529773
BaseRepresentation
bin1101101011101010100
3211210000012
41231131110
5103321330
613335352
73545054
oct1553524
9753005
10448340
11286932
12197558
131290b9
14b9564
158cc95
hex6d754

448340 has 24 divisors (see below), whose sum is σ = 975240. Its totient is φ = 172928.

The previous prime is 448321. The next prime is 448351. The reversal of 448340 is 43844.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 446224 = 46^2 + 668^2 .

It is a congruent number.

It is an unprimeable number.

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, 194 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (40635).

2448340 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 448340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487620).

448340 is an abundant number, since it is smaller than the sum of its proper divisors (526900).

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

448340 is a wasteful number, since it uses less digits than its factorization.

448340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 448340 is about 669.5819591357. The cubic root of 448340 is about 76.5365994578.

Subtracting from 448340 its reverse (43844), we obtain a square (404496 = 6362).

The spelling of 448340 in words is "four hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 773 1546 3092 3865 7730 15460 22417 44834 89668 112085 224170 448340