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445361 = 7261149
BaseRepresentation
bin1101100101110110001
3211121220212
41230232301
5103222421
613313505
73533300
oct1545661
9747825
10445361
11284674
12195895
13127937
14b8437
158be5b
hex6cbb1

445361 has 12 divisors (see below), whose sum is σ = 530100. Its totient is φ = 372960.

The previous prime is 445339. The next prime is 445363. The reversal of 445361 is 163544.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30625 + 414736 = 175^2 + 644^2 .

It is not a de Polignac number, because 445361 - 26 = 445297 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445363) 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 11 ways as a sum of consecutive naturals, for example, 2915 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (44175).

2445361 is an apocalyptic number.

It is an amenable number.

445361 is a deficient number, since it is larger than the sum of its proper divisors (84739).

445361 is a wasteful number, since it uses less digits than its factorization.

445361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 445361 is about 667.3537292920. The cubic root of 445361 is about 76.3667065264.

The spelling of 445361 in words is "four hundred forty-five thousand, three hundred sixty-one".

Divisors: 1 7 49 61 149 427 1043 2989 7301 9089 63623 445361