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630134340 = 2235118311503
BaseRepresentation
bin100101100011110…
…001011001000100
31121220201010210220
4211203301121010
52242303244330
6142305544340
721421024233
oct4543613104
91556633726
10630134340
112a3770290
121570450b0
13a0719a74
145d98cb1a
153a4c1710
hex258f1644

630134340 has 96 divisors (see below), whose sum is σ = 1948133376. Its totient is φ = 150906240.

The previous prime is 630134339. The next prime is 630134347. The reversal of 630134340 is 43431036.

It is a self number, because there is not a number n which added to its sum of digits gives 630134340.

It is not an unprimeable number, because it can be changed into a prime (630134347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49029 + ... + 60531.

It is an arithmetic number, because the mean of its divisors is an integer number (20293056).

Almost surely, 2630134340 is an apocalyptic number.

630134340 is a gapful number since it is divisible by the number (60) 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 630134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974066688).

630134340 is an abundant number, since it is smaller than the sum of its proper divisors (1317999036).

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

630134340 is a wasteful number, since it uses less digits than its factorization.

630134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11609 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 630134340 is about 25102.4767702313. The cubic root of 630134340 is about 857.3228175315.

Adding to 630134340 its reverse (43431036), we get a palindrome (673565376).

The spelling of 630134340 in words is "six hundred thirty million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1245 1660 1826 2490 2739 3652 4565 4980 5478 9130 10956 11503 13695 18260 23006 27390 34509 46012 54780 57515 69018 115030 126533 138036 172545 230060 253066 345090 379599 506132 632665 690180 759198 954749 1265330 1518396 1897995 1909498 2530660 2864247 3795990 3818996 4773745 5728494 7591980 9547490 10502239 11456988 14321235 19094980 21004478 28642470 31506717 42008956 52511195 57284940 63013434 105022390 126026868 157533585 210044780 315067170 630134340