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2543230340 = 2257214917417
BaseRepresentation
bin1001011110010110…
…1001110110000100
320120020112111011022
42113211221312010
520202031332330
61100210130312
7120011046500
oct22745516604
96506474138
102543230340
111095650662
125ab880998
13316b87431
141a1aa5300
15ed419ae5
hex97969d84

2543230340 has 72 divisors (see below), whose sum is σ = 6254803800. Its totient is φ = 866062848.

The previous prime is 2543230321. The next prime is 2543230363. The reversal of 2543230340 is 430323452.

2543230340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 340993156 + 2202237184 = 18466^2 + 46928^2 .

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, 137312 + ... + 154728.

It is an arithmetic number, because the mean of its divisors is an integer number (86872275).

Almost surely, 22543230340 is an apocalyptic number.

2543230340 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 2543230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127401900).

2543230340 is an abundant number, since it is smaller than the sum of its proper divisors (3711573460).

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

2543230340 is a wasteful number, since it uses less digits than its factorization.

2543230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17589 (or 17580 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 2543230340 is about 50430.4505234685. The cubic root of 2543230340 is about 1364.9871574509.

Adding to 2543230340 its reverse (430323452), we get a palindrome (2973553792).

The spelling of 2543230340 in words is "two billion, five hundred forty-three million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2980 4172 5215 7301 10430 14602 17417 20860 29204 34834 36505 69668 73010 87085 121919 146020 174170 243838 348340 487676 609595 853433 1219190 1706866 2438380 2595133 3413732 4267165 5190266 8534330 10380532 12975665 17068660 18165931 25951330 36331862 51902660 72663724 90829655 127161517 181659310 254323034 363318620 508646068 635807585 1271615170 2543230340