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630400824240 = 243511238788191
BaseRepresentation
bin10010010110001101101…
…00010011001110110000
32020021011201100221100120
421023012310103032300
540312030102333430
61201334021250240
763354630410445
oct11130664231660
92207151327316
10630400824240
11223395915830
12a2213b63980
13475a60920c5
1422723a299cc
15115e8c6e610
hex92c6d133b0

630400824240 has 80 divisors (see below), whose sum is σ = 2131900978176. Its totient is φ = 152824441600.

The previous prime is 630400824233. The next prime is 630400824271. The reversal of 630400824240 is 42428004036.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119391456 + ... + 119396735.

Almost surely, 2630400824240 is an apocalyptic number.

630400824240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630400824240 is an abundant number, since it is smaller than the sum of its proper divisors (1501500153936).

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

630400824240 is a wasteful number, since it uses less digits than its factorization.

630400824240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238788218 (or 238788212 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 630400824240 its reverse (42428004036), we get a palindrome (672828828276).

The spelling of 630400824240 in words is "six hundred thirty billion, four hundred million, eight hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 238788191 477576382 716364573 955152764 1193940955 1432729146 1910305528 2387881910 2626670101 2865458292 3581822865 3820611056 4775763820 5253340202 5730916584 7163645730 7880010303 9551527640 10506680404 11461833168 13133350505 14327291460 15760020606 19103055280 21013360808 26266701010 28654582920 31520041212 39400051515 42026721616 52533402020 57309165840 63040082424 78800103030 105066804040 126080164848 157600206060 210133608080 315200412120 630400824240