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3066920304 = 243743792687
BaseRepresentation
bin1011011011001101…
…0111110101110000
321220201221200201220
42312303113311300
522240112422204
61224154425040
7136000251420
oct26663276560
97821850656
103066920304
111334218688
12717132180
1339b515356
14211466480
1512e3b21d9
hexb6cd7d70

3066920304 has 160 divisors (see below), whose sum is σ = 9386065920. Its totient is φ = 844736256.

The previous prime is 3066920293. The next prime is 3066920323. The reversal of 3066920304 is 4030296603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140049 + ... + 1142735.

It is an arithmetic number, because the mean of its divisors is an integer number (58662912).

Almost surely, 23066920304 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 3066920304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693032960).

3066920304 is an abundant number, since it is smaller than the sum of its proper divisors (6319145616).

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

3066920304 is a wasteful number, since it uses less digits than its factorization.

3066920304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3066920304 is about 55379.7824481101. The cubic root of 3066920304 is about 1452.8947804697.

The spelling of 3066920304 in words is "three billion, sixty-six million, nine hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 79 84 86 112 129 158 168 172 237 258 301 316 336 344 474 516 553 602 632 688 903 948 1032 1106 1204 1264 1659 1806 1896 2064 2212 2408 2687 3318 3397 3612 3792 4424 4816 5374 6636 6794 7224 8061 8848 10191 10748 13272 13588 14448 16122 18809 20382 21496 23779 26544 27176 32244 37618 40764 42992 47558 54352 56427 64488 71337 75236 81528 95116 112854 115541 128976 142674 150472 163056 190232 212273 225708 231082 285348 300944 346623 380464 424546 451416 462164 570696 636819 693246 808787 849092 902832 924328 1141392 1273638 1386492 1485911 1617574 1698184 1848656 2426361 2547276 2772984 2971822 3235148 3396368 4457733 4852722 5094552 5545968 5943644 6470296 8915466 9127739 9705444 10189104 11887288 12940592 17830932 18255478 19410888 23774576 27383217 35661864 36510956 38821776 54766434 63894173 71323728 73021912 109532868 127788346 146043824 191682519 219065736 255576692 383365038 438131472 511153384 766730076 1022306768 1533460152 3066920304