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3005163330 = 2351316746141
BaseRepresentation
bin1011001100011111…
…0010011101000010
321202102202010002120
42303013302131002
522123310211310
61214111025110
7134320316061
oct26307623502
97672663076
103005163330
111302377764
126ba50b196
1338b7a1770
1420718c1d8
15128c63b70
hexb31f2742

3005163330 has 64 divisors (see below), whose sum is σ = 7813870848. Its totient is φ = 735287040.

The previous prime is 3005163307. The next prime is 3005163331. The reversal of 3005163330 is 333615003.

3005163330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30051633303 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3005163330.

It is not an unprimeable number, because it can be changed into a prime (3005163331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42060 + ... + 88200.

It is an arithmetic number, because the mean of its divisors is an integer number (122091732).

Almost surely, 23005163330 is an apocalyptic number.

3005163330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005163330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906935424).

3005163330 is an abundant number, since it is smaller than the sum of its proper divisors (4808707518).

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

3005163330 is a wasteful number, since it uses less digits than its factorization.

3005163330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46331.

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 3005163330 is about 54819.3700255667. The cubic root of 3005163330 is about 1443.0765194512.

Adding to 3005163330 its reverse (333615003), we get a palindrome (3338778333).

The spelling of 3005163330 in words is "three billion, five million, one hundred sixty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 167 195 334 390 501 835 1002 1670 2171 2505 4342 5010 6513 10855 13026 21710 32565 46141 65130 92282 138423 230705 276846 461410 599833 692115 1199666 1384230 1799499 2999165 3598998 5998330 7705547 8997495 15411094 17994990 23116641 38527735 46233282 77055470 100172111 115583205 200344222 231166410 300516333 500860555 601032666 1001721110 1502581665 3005163330