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684006484 = 2274671063
BaseRepresentation
bin101000110001010…
…001110001010100
31202200002010111111
4220301101301110
52400101201414
6151512344404
722643650000
oct5061216124
91680063444
10684006484
11321116217
121710a5104
13ab92c785
1466bb3700
15400b38c4
hex28c51c54

684006484 has 60 divisors (see below), whose sum is σ = 1418605664. Its totient is φ = 288498672.

The previous prime is 684006451. The next prime is 684006487. The reversal of 684006484 is 484600486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684006487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642937 + ... + 643999.

Almost surely, 2684006484 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 684006484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709302832).

684006484 is an abundant number, since it is smaller than the sum of its proper divisors (734599180).

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

684006484 is a wasteful number, since it uses less digits than its factorization.

684006484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 684006484 is about 26153.5176219185. The cubic root of 684006484 is about 881.0895955792.

The spelling of 684006484 in words is "six hundred eighty-four million, six thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 343 469 686 938 1063 1372 1876 2126 2401 3283 4252 4802 6566 7441 9604 13132 14882 22981 29764 45962 52087 71221 91924 104174 142442 160867 208348 284884 321734 364609 498547 643468 729218 997094 1458436 1994188 2552263 3489829 5104526 6979658 10209052 13959316 24428803 48857606 97715212 171001621 342003242 684006484