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3008480976 = 2432195320747
BaseRepresentation
bin1011001101010001…
…1100011011010000
321202122222200001100
42303110130123100
522130132342401
61214310104400
7134360444364
oct26324343320
97678880040
103008480976
111304233316
126bb64b100
1338c393877
142077b32a4
151291bbb86
hexb351c6d0

3008480976 has 120 divisors (see below), whose sum is σ = 9030359520. Its totient is φ = 932076288.

The previous prime is 3008480921. The next prime is 3008481011. The reversal of 3008480976 is 6790848003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134635 + ... + 155381.

It is an arithmetic number, because the mean of its divisors is an integer number (75252996).

Almost surely, 23008480976 is an apocalyptic number.

3008480976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008480976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

3008480976 is an abundant number, since it is smaller than the sum of its proper divisors (6021878544).

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

3008480976 is a wasteful number, since it uses less digits than its factorization.

3008480976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20833 (or 20824 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3008480976 is about 54849.6214754487. The cubic root of 3008480976 is about 1443.6073676151.

The spelling of 3008480976 in words is "three billion, eight million, four hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 954 1007 1272 1368 1908 2014 2544 2736 3021 3816 4028 6042 7632 8056 9063 12084 16112 18126 20747 24168 36252 41494 48336 62241 72504 82988 124482 145008 165976 186723 248964 331952 373446 394193 497928 746892 788386 995856 1099591 1182579 1493784 1576772 2199182 2365158 2987568 3153544 3298773 3547737 4398364 4730316 6307088 6597546 7095474 8796728 9460632 9896319 13195092 14190948 17593456 18921264 19792638 20892229 26390184 28381896 39585276 41784458 52780368 56763792 62676687 79170552 83568916 125353374 158341104 167137832 188030061 250706748 334275664 376060122 501413496 752120244 1002826992 1504240488 3008480976