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424240300 = 2252112271699
BaseRepresentation
bin11001010010010…
…110010010101100
31002120021122021201
4121102112102230
51332101142200
6110032535244
713340661121
oct3122262254
91076248251
10424240300
111a8522020
12ba0b1524
1369b7aa83
14404b4748
15273a0c6a
hex194964ac

424240300 has 72 divisors (see below), whose sum is σ = 1009310400. Its totient is φ = 153499200.

The previous prime is 424240247. The next prime is 424240309. The reversal of 424240300 is 3042424.

424240300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (424240309) 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 23 ways as a sum of consecutive naturals, for example, 248851 + ... + 250549.

It is an arithmetic number, because the mean of its divisors is an integer number (14018200).

Almost surely, 2424240300 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 424240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504655200).

424240300 is an abundant number, since it is smaller than the sum of its proper divisors (585070100).

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

424240300 is a wasteful number, since it uses less digits than its factorization.

424240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 424240300 is about 20597.0944552866. The cubic root of 424240300 is about 751.3990478566.

Adding to 424240300 its reverse (3042424), we get a palindrome (427282724).

The spelling of 424240300 in words is "four hundred twenty-four million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 227 275 454 550 908 1100 1135 1699 2270 2497 3398 4540 4994 5675 6796 8495 9988 11350 12485 16990 18689 22700 24970 33980 37378 42475 49940 62425 74756 84950 93445 124850 169900 186890 249700 373780 385673 467225 771346 934450 1542692 1868900 1928365 3856730 4242403 7713460 8484806 9641825 16969612 19283650 21212015 38567300 42424030 84848060 106060075 212120150 424240300