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445324000 = 25531129349
BaseRepresentation
bin11010100010110…
…001101011100000
31011000221210200111
4122202301223200
51403000332000
6112104501104
714015122462
oct3242615340
91130853614
10445324000
11209412570
1210517a794
1371350534
1443202132
1529167cba
hex1a8b1ae0

445324000 has 192 divisors, whose sum is σ = 1238328000. Its totient is φ = 155904000.

The previous prime is 445323979. The next prime is 445324003. The reversal of 445324000 is 423544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445324003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275826 + ... + 1276174.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2445324000 is an apocalyptic number.

445324000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

445324000 is an abundant number, since it is smaller than the sum of its proper divisors (793004000).

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

445324000 is a wasteful number, since it uses less digits than its factorization.

445324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 445324000 is about 21102.7012488923. The cubic root of 445324000 is about 763.6459165300.

Adding to 445324000 its reverse (423544), we get a palindrome (445747544).

The spelling of 445324000 in words is "four hundred forty-five million, three hundred twenty-four thousand".