Search a number
-
+
630460336 = 24112893659
BaseRepresentation
bin100101100101000…
…000111110110000
31121221022200222211
4211211000332300
52242344212321
6142320541504
721423552532
oct4545007660
91557280884
10630460336
112a3973200
12157181894
13a080226c
145da35852
153a5380e1
hex25940fb0

630460336 has 60 divisors (see below), whose sum is σ = 1358116200. Its totient is φ = 283275520.

The previous prime is 630460309. The next prime is 630460357. The reversal of 630460336 is 633064036.

630460336 = T10701 + T10702 + ... + T10711.

It is a junction number, because it is equal to n+sod(n) for n = 630460298 and 630460307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170475 + ... + 174133.

It is an arithmetic number, because the mean of its divisors is an integer number (22635270).

Almost surely, 2630460336 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 630460336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679058100).

630460336 is an abundant number, since it is smaller than the sum of its proper divisors (727655864).

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

630460336 is a wasteful number, since it uses less digits than its factorization.

630460336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

The square root of 630460336 is about 25108.9692341203. The cubic root of 630460336 is about 857.4706355489.

The spelling of 630460336 in words is "six hundred thirty million, four hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 89 121 176 178 242 356 484 712 968 979 1424 1936 1958 3659 3916 7318 7832 10769 14636 15664 21538 29272 40249 43076 58544 80498 86152 160996 172304 321992 325651 442739 643984 651302 885478 1302604 1770956 2605208 3541912 3582161 5210416 7083824 7164322 14328644 28657288 39403771 57314576 78807542 157615084 315230168 630460336