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444774 = 231123293
BaseRepresentation
bin1101100100101100110
3211121010010
41230211212
5103213044
613311050
73531501
oct1544546
9747103
10444774
11284190
12195486
131275a5
14b8138
158bbb9
hex6c966

444774 has 32 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 128480.

The previous prime is 444767. The next prime is 444791. The reversal of 444774 is 477444.

It is a super-2 number, since 2×4447742 = 395647822152, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444774.

It is an unprimeable number.

444774 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2444774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

444774 is an abundant number, since it is smaller than the sum of its proper divisors (571290).

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

444774 is a wasteful number, since it uses less digits than its factorization.

444774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332.

The product of its digits is 12544, while the sum is 30.

The square root of 444774 is about 666.9137875318. The cubic root of 444774 is about 76.3331405236. Note that the first 3 decimals are identical.

The spelling of 444774 in words is "four hundred forty-four thousand, seven hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 293 506 586 759 879 1518 1758 3223 6446 6739 9669 13478 19338 20217 40434 74129 148258 222387 444774