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444385 = 5314761
BaseRepresentation
bin1101100011111100001
3211120120201
41230133201
5103210020
613305201
73530404
oct1543741
9746521
10444385
11283967
12195201
13127366
14b7d3b
158ba0a
hex6c7e1

444385 has 16 divisors (see below), whose sum is σ = 571392. Its totient is φ = 331200.

The previous prime is 444349. The next prime is 444401. The reversal of 444385 is 583444.

It is not a de Polignac number, because 444385 - 29 = 443873 is a prime.

It is an Ulam number.

444385 is a lucky 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 15 ways as a sum of consecutive naturals, for example, 7255 + ... + 7315.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2444385 is an apocalyptic number.

It is an amenable number.

444385 is a deficient number, since it is larger than the sum of its proper divisors (127007).

444385 is a wasteful number, since it uses less digits than its factorization.

444385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 7680, while the sum is 28.

The square root of 444385 is about 666.6220818425. The cubic root of 444385 is about 76.3108803401.

The spelling of 444385 in words is "four hundred forty-four thousand, three hundred eighty-five".

Divisors: 1 5 31 47 61 155 235 305 1457 1891 2867 7285 9455 14335 88877 444385