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3113248460 = 2257611073407
BaseRepresentation
bin1011100110010000…
…0110011011001100
322000222010102000112
42321210012123030
522333442422320
61232531415152
7140102114060
oct27144063314
98028112015
103113248460
111358390713
1272a7544b8
133a7cb636a
14217685aa0
151334b3ec5
hexb99066cc

3113248460 has 96 divisors (see below), whose sum is σ = 7667509248. Its totient is φ = 1039783680.

The previous prime is 3113248381. The next prime is 3113248483. The reversal of 3113248460 is 648423113.

It is a super-3 number, since 3×31132484603 (a number of 29 digits) contains 333 as substring.

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, 912077 + ... + 915483.

It is an arithmetic number, because the mean of its divisors is an integer number (79869888).

Almost surely, 23113248460 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 3113248460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833754624).

3113248460 is an abundant number, since it is smaller than the sum of its proper divisors (4554260788).

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

3113248460 is a wasteful number, since it uses less digits than its factorization.

3113248460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3113248460 is about 55796.4914667580. The cubic root of 3113248460 is about 1460.1739424960.

The spelling of 3113248460 in words is "three billion, one hundred thirteen million, two hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 107 122 140 214 244 305 427 428 535 610 749 854 1070 1220 1498 1708 2135 2140 2996 3407 3745 4270 6527 6814 7490 8540 13054 13628 14980 17035 23849 26108 32635 34070 45689 47698 65270 68140 91378 95396 119245 130540 182756 207827 228445 238490 364549 415654 456890 476980 729098 831308 913780 1039135 1454789 1458196 1822745 2078270 2551843 2909578 3645490 4156540 5103686 5819156 7273945 7290980 10207372 12759215 14547890 22237489 25518430 29095780 44474978 51036860 88949956 111187445 155662423 222374890 311324846 444749780 622649692 778312115 1556624230 3113248460