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3066336768 = 293111271429
BaseRepresentation
bin1011011011000100…
…1001011000000000
321220200212001021110
42312301021120000
522234440234033
61224134123320
7135662301225
oct26661113000
97820761243
103066336768
11133395a220
12716ab0540
1339b36c871
1421135394c
1512e2e9363
hexb6c49600

3066336768 has 160 divisors (see below), whose sum is σ = 8987996160. Its totient is φ = 921231360.

The previous prime is 3066336761. The next prime is 3066336769. The reversal of 3066336768 is 8676336603.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066336761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145078 + ... + 2146506.

It is an arithmetic number, because the mean of its divisors is an integer number (56174976).

Almost surely, 23066336768 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 3066336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493998080).

3066336768 is an abundant number, since it is smaller than the sum of its proper divisors (5921659392).

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

3066336768 is a wasteful number, since it uses less digits than its factorization.

3066336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The square root of 3066336768 is about 55374.5137044110. The cubic root of 3066336768 is about 1452.8026282887.

The spelling of 3066336768 in words is "three billion, sixty-six million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 256 264 352 381 384 508 512 528 704 762 768 1016 1056 1397 1408 1429 1524 1536 2032 2112 2794 2816 2858 3048 4064 4191 4224 4287 5588 5632 5716 6096 8128 8382 8448 8574 11176 11432 12192 15719 16256 16764 16896 17148 22352 22864 24384 31438 32512 33528 34296 44704 45728 47157 48768 62876 65024 67056 68592 89408 91456 94314 97536 125752 134112 137184 178816 181483 182912 188628 195072 251504 268224 274368 357632 362966 365824 377256 503008 536448 544449 548736 715264 725932 731648 754512 1006016 1072896 1088898 1097472 1451864 1509024 1996313 2012032 2145792 2177796 2194944 2903728 3018048 3992626 4024064 4355592 5807456 5988939 6036096 7985252 8048128 8711184 11614912 11977878 12072192 15970504 17422368 23229824 23955756 24144384 31941008 34844736 46459648 47911512 63882016 69689472 92919296 95823024 127764032 139378944 191646048 255528064 278757888 383292096 511056128 766584192 1022112256 1533168384 3066336768