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441342300 = 223527297247
BaseRepresentation
bin11010010011100…
…101100101011100
31010202110111211010
4122103211211130
51400440423200
6111443255220
713636230150
oct3223454534
91122414733
10441342300
11207143003
1210397a510
13705880b9
1442887060
1528b2d150
hex1a4e595c

441342300 has 144 divisors (see below), whose sum is σ = 1509903360. Its totient is φ = 97386240.

The previous prime is 441342247. The next prime is 441342313. The reversal of 441342300 is 3243144.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57277 + ... + 64523.

It is an arithmetic number, because the mean of its divisors is an integer number (10485440).

Almost surely, 2441342300 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 441342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754951680).

441342300 is an abundant number, since it is smaller than the sum of its proper divisors (1068561060).

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

441342300 is a wasteful number, since it uses less digits than its factorization.

441342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 441342300 is about 21008.1484191254. The cubic root of 441342300 is about 761.3631468381.

Adding to 441342300 its reverse (3243144), we get a palindrome (444585444).

The spelling of 441342300 in words is "four hundred forty-one million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 7247 8700 10150 12180 14494 15225 20300 21741 28988 30450 36235 43482 50729 60900 72470 86964 101458 108705 144940 152187 181175 202916 210163 217410 253645 304374 362350 420326 434820 507290 543525 608748 630489 724700 760935 840652 1014580 1050815 1087050 1260978 1268225 1471141 1521870 2101630 2174100 2521956 2536450 2942282 3043740 3152445 3804675 4203260 4413423 5072900 5254075 5884564 6304890 7355705 7609350 8826846 10508150 12609780 14711410 15218700 15762225 17653692 21016300 22067115 29422820 31524450 36778525 44134230 63048900 73557050 88268460 110335575 147114100 220671150 441342300