Search a number
-
+
1006330644 = 22321116715217
BaseRepresentation
bin111011111110110…
…110001100010100
32121010120220010100
4323332312030110
54030110040034
6243505054100
733636445404
oct7376661424
92533526110
101006330644
11477058120
12241027330
13130645827
1497918804
155d532099
hex3bfb6314

1006330644 has 72 divisors (see below), whose sum is σ = 2791833408. Its totient is φ = 303102720.

The previous prime is 1006330639. The next prime is 1006330651. The reversal of 1006330644 is 4460336001.

1006330644 is a `hidden beast` number, since 10 + 0 + 6 + 3 + 3 + 0 + 644 = 666.

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, 58524 + ... + 73740.

It is an arithmetic number, because the mean of its divisors is an integer number (38775464).

Almost surely, 21006330644 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 1006330644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395916704).

1006330644 is an abundant number, since it is smaller than the sum of its proper divisors (1785502764).

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

1006330644 is a wasteful number, since it uses less digits than its factorization.

1006330644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15405 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1006330644 is about 31722.7149531688. The cubic root of 1006330644 is about 1002.1057772563.

Adding to 1006330644 its reverse (4460336001), we get a palindrome (5466666645).

The spelling of 1006330644 in words is "one billion, six million, three hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 167 198 334 396 501 668 1002 1503 1837 2004 3006 3674 5511 6012 7348 11022 15217 16533 22044 30434 33066 45651 60868 66132 91302 136953 167387 182604 273906 334774 502161 547812 669548 1004322 1506483 2008644 2541239 3012966 5082478 6025932 7623717 10164956 15247434 22871151 27953629 30494868 45742302 55907258 83860887 91484604 111814516 167721774 251582661 335443548 503165322 1006330644