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643521330 = 232561251467
BaseRepresentation
bin100110010110110…
…101101100110010
31122211220021022100
4212112311230302
52304220140310
6143504521230
721642561324
oct4626655462
91584807270
10643521330
11300284111
1215b620216
13a342616a
1461675614
153b767ec0
hex265b5b32

643521330 has 96 divisors (see below), whose sum is σ = 1711015488. Its totient is φ = 167760000.

The previous prime is 643521323. The next prime is 643521331. The reversal of 643521330 is 33125346.

It is a happy number.

643521330 is a `hidden beast` number, since 643 + 5 + 2 + 13 + 3 + 0 = 666.

643521330 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 643521294 and 643521303.

It is not an unprimeable number, because it can be changed into a prime (643521331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377757 + ... + 1378223.

It is an arithmetic number, because the mean of its divisors is an integer number (17823078).

Almost surely, 2643521330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643521330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855507744).

643521330 is an abundant number, since it is smaller than the sum of its proper divisors (1067494158).

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

643521330 is a wasteful number, since it uses less digits than its factorization.

643521330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 643521330 is about 25367.7222075613. The cubic root of 643521330 is about 863.3515018645.

Adding to 643521330 its reverse (33125346), we get a palindrome (676646676).

The spelling of 643521330 in words is "six hundred forty-three million, five hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 251 305 366 467 502 549 610 753 915 934 1098 1255 1401 1506 1830 2259 2335 2510 2745 2802 3765 4203 4518 4670 5490 7005 7530 8406 11295 14010 15311 21015 22590 28487 30622 42030 45933 56974 76555 85461 91866 117217 137799 142435 153110 170922 229665 234434 256383 275598 284870 351651 427305 459330 512766 586085 688995 703302 854610 1054953 1172170 1281915 1377990 1758255 2109906 2563830 3516510 5274765 7150237 10549530 14300474 21450711 35751185 42901422 64352133 71502370 107253555 128704266 214507110 321760665 643521330