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2530344300 = 22352117511021
BaseRepresentation
bin1001011011010001…
…1111110101101100
320112100021210211120
42112310133311230
520140232004200
61055030020540
7116463400041
oct22664376554
96470253746
102530344300
11108934a140
125a74a7750
133142c5063
141a00ad1c8
15ec2219a0
hex96d1fd6c

2530344300 has 144 divisors (see below), whose sum is σ = 8005154304. Its totient is φ = 612000000.

The previous prime is 2530344281. The next prime is 2530344307. The reversal of 2530344300 is 34430352.

It is not an unprimeable number, because it can be changed into a prime (2530344307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2477790 + ... + 2478810.

Almost surely, 22530344300 is an apocalyptic number.

2530344300 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 2530344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002577152).

2530344300 is an abundant number, since it is smaller than the sum of its proper divisors (5474810004).

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

2530344300 is a wasteful number, since it uses less digits than its factorization.

2530344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2530344300 is about 50302.5277694869. The cubic root of 2530344300 is about 1362.6778804316.

Adding to 2530344300 its reverse (34430352), we get a palindrome (2564774652).

The spelling of 2530344300 in words is "two billion, five hundred thirty million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 751 825 1021 1100 1502 1650 2042 2253 3004 3063 3300 3755 4084 4506 5105 6126 7510 8261 9012 10210 11231 11265 12252 15020 15315 16522 18775 20420 22462 22530 24783 25525 30630 33044 33693 37550 41305 44924 45060 49566 51050 56155 56325 61260 67386 75100 76575 82610 99132 102100 112310 112650 123915 134772 153150 165220 168465 206525 224620 225300 247830 280775 306300 336930 413050 495660 561550 619575 673860 766771 826100 842325 1123100 1239150 1533542 1684650 2300313 2478300 3067084 3369300 3833855 4600626 7667710 8434481 9201252 11501565 15335420 16868962 19169275 23003130 25303443 33737924 38338550 42172405 46006260 50606886 57507825 76677100 84344810 101213772 115015650 126517215 168689620 210862025 230031300 253034430 421724050 506068860 632586075 843448100 1265172150 2530344300