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424203300 = 2232522916253
BaseRepresentation
bin11001010010001…
…101010000100100
31002120012202112100
4121102031100210
51332044001200
6110032052100
713340445213
oct3122152044
91076182470
10424203300
111a84a7244
12ba094030
1369b66c91
14404a507a
1527394d00
hex1948d424

424203300 has 108 divisors (see below), whose sum is σ = 1375576020. Its totient is φ = 109213440.

The previous prime is 424203293. The next prime is 424203301. The reversal of 424203300 is 3302424.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 423783396 = 648^2 + 20586^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (424203301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 17974 + ... + 34226.

It is an arithmetic number, because the mean of its divisors is an integer number (12736815).

Almost surely, 2424203300 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 424203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687788010).

424203300 is an abundant number, since it is smaller than the sum of its proper divisors (951372720).

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

424203300 is a wasteful number, since it uses less digits than its factorization.

424203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16302 (or 16292 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 424203300 is about 20596.1962507644. The cubic root of 424203300 is about 751.3772028684.

Adding to 424203300 its reverse (3302424), we get a palindrome (427505724).

The spelling of 424203300 in words is "four hundred twenty-four million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 16253 26100 32506 48759 65012 81265 97518 146277 162530 195036 243795 292554 325060 406325 471337 487590 585108 731385 812650 942674 975180 1218975 1414011 1462770 1625300 1885348 2356685 2437950 2828022 2925540 3656925 4242033 4713370 4875900 5656044 7070055 7313850 8484066 9426740 11783425 14140110 14627700 16968132 21210165 23566850 28280220 35350275 42420330 47133700 70700550 84840660 106050825 141401100 212101650 424203300