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445134000 = 2435374189
BaseRepresentation
bin11010100010000…
…011010010110000
31011000121011001110
4122202003102300
51402423242000
6112100433320
714013401523
oct3242032260
91130534043
10445134000
112092a2843
121050a8840
13712b4bcc
1443192bba
152912b850
hex1a8834b0

445134000 has 80 divisors (see below), whose sum is σ = 1435131360. Its totient is φ = 118700800.

The previous prime is 445133993. The next prime is 445134043. The reversal of 445134000 is 431544.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 31095 + ... + 43094.

It is an arithmetic number, because the mean of its divisors is an integer number (17939142).

Almost surely, 2445134000 is an apocalyptic number.

445134000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445134000 is an abundant number, since it is smaller than the sum of its proper divisors (989997360).

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

445134000 is a wasteful number, since it uses less digits than its factorization.

445134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74215 (or 74199 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 445134000 is about 21098.1989752680. The cubic root of 445134000 is about 763.5372964662.

Adding to 445134000 its reverse (431544), we get a palindrome (445565544).

The spelling of 445134000 in words is "four hundred forty-five million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 74189 148378 222567 296756 370945 445134 593512 741890 890268 1112835 1187024 1483780 1780536 1854725 2225670 2967560 3561072 3709450 4451340 5564175 5935120 7418900 8902680 9273625 11128350 14837800 17805360 18547250 22256700 27820875 29675600 37094500 44513400 55641750 74189000 89026800 111283500 148378000 222567000 445134000