[go: up one dir, main page]

Search a number
-
+
3005316512 = 251159144709
BaseRepresentation
bin1011001100100001…
…0111110110100000
321202110000220012222
42303020113312200
522123330112022
61214114210212
7134321524502
oct26310276640
97673026188
103005316512
111302471860
126ba583968
1338b8263c3
142071cbd72
15128c94242
hexb3217da0

3005316512 has 48 divisors (see below), whose sum is σ = 6564045600. Its totient is φ = 1342890240.

The previous prime is 3005316497. The next prime is 3005316521. The reversal of 3005316512 is 2156135003.

It is a super-3 number, since 3×30053165123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51587 + ... + 93122.

It is an arithmetic number, because the mean of its divisors is an integer number (136750950).

Almost surely, 23005316512 is an apocalyptic number.

3005316512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3005316512 is an abundant number, since it is smaller than the sum of its proper divisors (3558729088).

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

3005316512 is a wasteful number, since it uses less digits than its factorization.

3005316512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144789 (or 144781 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 3005316512 is about 54820.7671599003. The cubic root of 3005316512 is about 1443.1010383173.

The spelling of 3005316512 in words is "three billion, five million, three hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 1298 1888 2596 5192 10384 20768 144709 289418 578836 1157672 1591799 2315344 3183598 4630688 6367196 8537831 12734392 17075662 25468784 34151324 50937568 68302648 93916141 136605296 187832282 273210592 375664564 751329128 1502658256 3005316512