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445356 = 223289139
BaseRepresentation
bin1101100101110101100
3211121220200
41230232230
5103222411
613313500
73533262
oct1545654
9747820
10445356
1128466a
12195890
13127932
14b8432
158be56
hex6cbac

445356 has 36 divisors (see below), whose sum is σ = 1146600. Its totient is φ = 145728.

The previous prime is 445339. The next prime is 445363. The reversal of 445356 is 653544.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 445356.

It is an unprimeable number.

445356 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 3135 + ... + 3273.

It is an arithmetic number, because the mean of its divisors is an integer number (31850).

2445356 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 445356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573300).

445356 is an abundant number, since it is smaller than the sum of its proper divisors (701244).

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

445356 is a wasteful number, since it uses less digits than its factorization.

445356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 445356 is about 667.3499831423. The cubic root of 445356 is about 76.3664207395.

The spelling of 445356 in words is "four hundred forty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 139 178 267 278 356 417 534 556 801 834 1068 1251 1602 1668 2502 3204 5004 12371 24742 37113 49484 74226 111339 148452 222678 445356