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444423000 = 23353721163
BaseRepresentation
bin11010011111010…
…101101101011000
31010222021000202010
4122133111231120
51402233014000
6112033305520
714004350610
oct3237255530
91128230663
10444423000
1120895763a
12104a052a0
13710c63b8
1443049a40
152903ad50
hex1a7d5b58

444423000 has 128 divisors (see below), whose sum is σ = 1584760320. Its totient is φ = 101577600.

The previous prime is 444422981. The next prime is 444423019. The reversal of 444423000 is 324444.

It is an interprime number because it is at equal distance from previous prime (444422981) and next prime (444423019).

It is a super-3 number, since 3×4444230003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10419 + ... + 31581.

It is an arithmetic number, because the mean of its divisors is an integer number (12380940).

Almost surely, 2444423000 is an apocalyptic number.

444423000 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 444423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792380160).

444423000 is an abundant number, since it is smaller than the sum of its proper divisors (1140337320).

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

444423000 is a wasteful number, since it uses less digits than its factorization.

444423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21194 (or 21180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 444423000 is about 21081.3424619971. The cubic root of 444423000 is about 763.1305542910.

Adding to 444423000 its reverse (324444), we get a palindrome (444747444).

The spelling of 444423000 in words is "four hundred forty-four million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 21163 42326 63489 84652 105815 126978 148141 169304 211630 253956 296282 317445 423260 444423 507912 529075 592564 634890 740705 846520 888846 1058150 1185128 1269780 1481410 1587225 1777692 2116300 2222115 2539560 2645375 2962820 3174450 3555384 3703525 4232600 4444230 5290750 5925640 6348900 7407050 7936125 8888460 10581500 11110575 12697800 14814100 15872250 17776920 18517625 21163000 22221150 29628200 31744500 37035250 44442300 55552875 63489000 74070500 88884600 111105750 148141000 222211500 444423000