Search a number
-
+
3266383968 = 25347117749
BaseRepresentation
bin1100001010110001…
…0001000001100000
322102122021111110000
43002230101001200
523142143241333
61300041540000
7143641543221
oct30254210140
98378244400
103266383968
111426874691
12771aa4600
134009424a3
1422db49248
15141b62713
hexc2b11060

3266383968 has 120 divisors (see below), whose sum is σ = 9742194000. Its totient is φ = 1073399040.

The previous prime is 3266383963. The next prime is 3266383979. The reversal of 3266383968 is 8693836623.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3266383963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175158 + ... + 192906.

It is an arithmetic number, because the mean of its divisors is an integer number (81184950).

Almost surely, 23266383968 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 3266383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871097000).

3266383968 is an abundant number, since it is smaller than the sum of its proper divisors (6475810032).

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

3266383968 is a wasteful number, since it uses less digits than its factorization.

3266383968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17842 (or 17825 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3266383968 is about 57152.2875132746. The cubic root of 3266383968 is about 1483.7329627061.

The spelling of 3266383968 in words is "three billion, two hundred sixty-six million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 10224 11502 15336 17749 20448 23004 30672 35498 46008 53247 61344 70996 92016 106494 141992 159741 184032 212988 283984 319482 425976 479223 567968 638964 851952 958446 1260179 1277928 1437669 1703904 1916892 2520358 2555856 2875338 3780537 3833784 5040716 5111712 5750676 7561074 7667568 10081432 11341611 11501352 15122148 15335136 20162864 22683222 23002704 30244296 34024833 40325728 45366444 46005408 60488592 68049666 90732888 102074499 120977184 136099332 181465776 204148998 272198664 362931552 408297996 544397328 816595992 1088794656 1633191984 3266383968