Search a number
-
+
3312027264 = 27371394781
BaseRepresentation
bin1100010101101001…
…1000011010000000
322112211011102021110
43011122120122000
523240334333024
61304352123320
7145034524110
oct30532303200
98484142243
103312027264
11144a60a117
12785236540
1340a233860
14235c2b040
15145b7b629
hexc5698680

3312027264 has 128 divisors (see below), whose sum is σ = 10827895680. Its totient is φ = 873492480.

The previous prime is 3312027253. The next prime is 3312027289. The reversal of 3312027264 is 4627202133.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12447 + ... + 82334.

It is an arithmetic number, because the mean of its divisors is an integer number (84592935).

Almost surely, 23312027264 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 3312027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413947840).

3312027264 is an abundant number, since it is smaller than the sum of its proper divisors (7515868416).

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

3312027264 is a wasteful number, since it uses less digits than its factorization.

3312027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94818 (or 94806 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3312027264 is about 57550.2151516395. The cubic root of 3312027264 is about 1490.6120729036.

Adding to 3312027264 its reverse (4627202133), we get a palindrome (7939229397).

The spelling of 3312027264 in words is "three billion, three hundred twelve million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 94781 189562 284343 379124 568686 663467 758248 1137372 1232153 1326934 1516496 1990401 2274744 2464306 2653868 3032992 3696459 3980802 4549488 4928612 5307736 6065984 7392918 7961604 8625071 9098976 9857224 10615472 12131968 14785836 15923208 17250142 18197952 19714448 21230944 25875213 29571672 31846416 34500284 36395904 39428896 42461888 51750426 59143344 63692832 69000568 78857792 84923776 103500852 118286688 127385664 138001136 157715584 207001704 236573376 254771328 276002272 414003408 473146752 552004544 828006816 1104009088 1656013632 3312027264