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2434000300 = 2252236611601
BaseRepresentation
bin1001000100010011…
…1110010110101100
320021122000000201021
42101010332112230
514441101002200
61041305023524
7114213442534
oct22104762654
96248000637
102434000300
111039a254a6
1257b184ba4
132ca361684
141913904c4
15e3a4041a
hex9113e5ac

2434000300 has 72 divisors (see below), whose sum is σ = 5523208992. Its totient is φ = 929280000.

The previous prime is 2434000273. The next prime is 2434000319. The reversal of 2434000300 is 30004342.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1519500 + ... + 1521100.

It is an arithmetic number, because the mean of its divisors is an integer number (76711236).

Almost surely, 22434000300 is an apocalyptic number.

2434000300 is a gapful number since it is divisible by the number (20) 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 2434000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761604496).

2434000300 is an abundant number, since it is smaller than the sum of its proper divisors (3089208692).

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

2434000300 is a wasteful number, since it uses less digits than its factorization.

2434000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2434000300 is about 49335.5885745777. The cubic root of 2434000300 is about 1345.1587546333.

Adding to 2434000300 its reverse (30004342), we get a palindrome (2464004642).

The spelling of 2434000300 in words is "two billion, four hundred thirty-four million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 661 1150 1322 1601 2300 2644 3202 3305 6404 6610 8005 13220 15203 16010 16525 30406 32020 33050 36823 40025 60812 66100 73646 76015 80050 147292 152030 160100 184115 304060 368230 380075 736460 760150 920575 1058261 1520300 1841150 2116522 3682300 4233044 5291305 10582610 21165220 24340003 26456525 48680006 52913050 97360012 105826100 121700015 243400030 486800060 608500075 1217000150 2434000300