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424200304 = 241119112619
BaseRepresentation
bin11001010010001…
…100100001110000
31002120012121102101
4121102030201300
51332043402204
6110032030144
713340433403
oct3122144160
91076177371
10424200304
111a84a4a70
12ba092354
1369b657c8
14404a3d3a
1527393ea4
hex1948c870

424200304 has 40 divisors (see below), whose sum is σ = 901370880. Its totient is φ = 191793600.

The previous prime is 424200281. The next prime is 424200307. The reversal of 424200304 is 403002424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424200307) 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 7 ways as a sum of consecutive naturals, for example, 27307 + ... + 39925.

It is an arithmetic number, because the mean of its divisors is an integer number (22534272).

Almost surely, 2424200304 is an apocalyptic number.

424200304 is a gapful number since it is divisible by the number (44) 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 424200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450685440).

424200304 is an abundant number, since it is smaller than the sum of its proper divisors (477170576).

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

424200304 is a wasteful number, since it uses less digits than its factorization.

424200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12823 counting only the distinct ones).

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

The square root of 424200304 is about 20596.1235187595. The cubic root of 424200304 is about 751.3754339592.

Adding to 424200304 its reverse (403002424), we get a palindrome (827202728).

The spelling of 424200304 in words is "four hundred twenty-four million, two hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 382 764 1528 2101 3056 4202 8404 12619 16808 25238 33616 50476 100952 138809 201904 277618 555236 1110472 2220944 2410229 4820458 9640916 19281832 26512519 38563664 53025038 106050076 212100152 424200304