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3000231260 = 22513431012657
BaseRepresentation
bin1011001011010011…
…1110010101011100
321202002110112120022
42302310332111130
522121024400020
61213413211312
7134230354625
oct26264762534
97662415508
103000231260
1112aa609174
126b8930b38
1338a765890
14206666a4c
151285dc625
hexb2d3e55c

3000231260 has 96 divisors (see below), whose sum is σ = 7014313152. Its totient is φ = 1070899200.

The previous prime is 3000231133. The next prime is 3000231313. The reversal of 3000231260 is 621320003.

It is a super-3 number, since 3×30002312603 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127852 + ... + 1130508.

It is an arithmetic number, because the mean of its divisors is an integer number (73065762).

Almost surely, 23000231260 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 3000231260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507156576).

3000231260 is an abundant number, since it is smaller than the sum of its proper divisors (4014081892).

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

3000231260 is a wasteful number, since it uses less digits than its factorization.

3000231260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3000231260 is about 54774.3668151445. The cubic root of 3000231260 is about 1442.2866287591.

Adding to 3000231260 its reverse (621320003), we get a palindrome (3621551263).

The spelling of 3000231260 in words is "three billion, two hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 101 130 172 202 215 260 404 430 505 559 860 1010 1118 1313 2020 2236 2626 2657 2795 4343 5252 5314 5590 6565 8686 10628 11180 13130 13285 17372 21715 26260 26570 34541 43430 53140 56459 69082 86860 112918 114251 138164 172705 225836 228502 268357 282295 345410 457004 536714 564590 571255 690820 1073428 1129180 1142510 1341785 1485263 2285020 2683570 2970526 3488641 5367140 5941052 6977282 7426315 11539351 13954564 14852630 17443205 23078702 29705260 34886410 46157404 57696755 69772820 115393510 150011563 230787020 300023126 600046252 750057815 1500115630 3000231260