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3242561130 = 2325175773673
BaseRepresentation
bin1100000101000101…
…1000111001101010
322100222110011122200
43001101120321222
523120043424010
61253431201030
7143232212664
oct30121307152
98328404580
103242561130
111414383196
12765b16176
133c8a21033
1422a907534
1513ea08cc0
hexc1458e6a

3242561130 has 96 divisors (see below), whose sum is σ = 8944485264. Its totient is φ = 812187648.

The previous prime is 3242561129. The next prime is 3242561141. The reversal of 3242561130 is 311652423.

3242561130 is a `hidden beast` number, since 3 + 2 + 42 + 5 + 611 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2143041849 + 1099519281 = 46293^2 + 33159^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3242561094 and 3242561103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880974 + ... + 884646.

Almost surely, 23242561130 is an apocalyptic number.

3242561130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3242561130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472242632).

3242561130 is an abundant number, since it is smaller than the sum of its proper divisors (5701924134).

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

3242561130 is a wasteful number, since it uses less digits than its factorization.

3242561130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3242561130 is about 56943.4906727714. The cubic root of 3242561130 is about 1480.1170363376.

The spelling of 3242561130 in words is "three billion, two hundred forty-two million, five hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 577 765 1154 1530 1731 2885 3462 3673 5193 5770 7346 8655 9809 10386 11019 17310 18365 19618 22038 25965 29427 33057 36730 49045 51930 55095 58854 62441 66114 88281 98090 110190 124882 147135 165285 176562 187323 294270 312205 330570 374646 441405 561969 624410 882810 936615 1123938 1873230 2119321 2809845 4238642 5619690 6357963 10596605 12715926 19073889 21193210 31789815 36028457 38147778 63579630 72056914 95369445 108085371 180142285 190738890 216170742 324256113 360284570 540426855 648512226 1080853710 1621280565 3242561130