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445368 = 233711241
BaseRepresentation
bin1101100101110111000
3211121221010
41230232320
5103222433
613313520
73533310
oct1545670
9747833
10445368
11284680
121958a0
13127941
14b8440
158be63
hex6cbb8

445368 has 64 divisors (see below), whose sum is σ = 1393920. Its totient is φ = 115200.

The previous prime is 445363. The next prime is 445427. The reversal of 445368 is 863544.

It is a nialpdrome in base 14.

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 15 ways as a sum of consecutive naturals, for example, 1728 + ... + 1968.

It is an arithmetic number, because the mean of its divisors is an integer number (21780).

2445368 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 445368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960).

445368 is an abundant number, since it is smaller than the sum of its proper divisors (948552).

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

445368 is a wasteful number, since it uses less digits than its factorization.

445368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 445368 is about 667.3589738664. The cubic root of 445368 is about 76.3671066244.

It can be divided in two parts, 44536 and 8, that added together give a palindrome (44544).

The spelling of 445368 in words is "four hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 241 264 308 462 482 616 723 924 964 1446 1687 1848 1928 2651 2892 3374 5061 5302 5784 6748 7953 10122 10604 13496 15906 18557 20244 21208 31812 37114 40488 55671 63624 74228 111342 148456 222684 445368