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684240606 = 232727511033
BaseRepresentation
bin101000110010001…
…010111011011110
31202200112000122200
4220302022323132
52400131144411
6151521352330
722645643400
oct5062127336
91680460580
10684240606
11321266105
121711986a6
13ab9b21ca
1466c34b70
154010ce56
hex28c8aede

684240606 has 72 divisors (see below), whose sum is σ = 1728533664. Its totient is φ = 195048000.

The previous prime is 684240589. The next prime is 684240637. The reversal of 684240606 is 606042486.

It is a happy number.

684240606 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 40 + 606 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661866 + ... + 662898.

It is an arithmetic number, because the mean of its divisors is an integer number (24007412).

Almost surely, 2684240606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684240606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864266832).

684240606 is an abundant number, since it is smaller than the sum of its proper divisors (1044293058).

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

684240606 is a wasteful number, since it uses less digits than its factorization.

684240606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 684240606 is about 26157.9931569683. The cubic root of 684240606 is about 881.1901106728.

The spelling of 684240606 in words is "six hundred eighty-four million, two hundred forty thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 751 882 1033 1502 2066 2253 3099 4506 5257 6198 6759 7231 9297 10514 13518 14462 15771 18594 21693 31542 36799 43386 47313 50617 65079 73598 94626 101234 110397 130158 151851 220794 303702 331191 455553 662382 775783 911106 1551566 2327349 4654698 5430481 6982047 10860962 13964094 16291443 32582886 38013367 48874329 76026734 97748658 114040101 228080202 342120303 684240606