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684480112 = 24179725943
BaseRepresentation
bin101000110011000…
…101011001110000
31202200222012012021
4220303011121300
52400211330422
6151530441224
722650661561
oct5063053160
91680865167
10684480112
1132140a048
12171293214
13aba67224
1466c98168
1540158dc7
hex28cc5670

684480112 has 40 divisors (see below), whose sum is σ = 1418721696. Its totient is φ = 318775296.

The previous prime is 684480103. The next prime is 684480119. The reversal of 684480112 is 211084486.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684480119) 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 7 ways as a sum of consecutive naturals, for example, 13413 + ... + 39355.

Almost surely, 2684480112 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 684480112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709360848).

684480112 is an abundant number, since it is smaller than the sum of its proper divisors (734241584).

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

684480112 is a wasteful number, since it uses less digits than its factorization.

684480112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26065 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 684480112 is about 26162.5708216911. The cubic root of 684480112 is about 881.2929135449.

The spelling of 684480112 in words is "six hundred eighty-four million, four hundred eighty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1552 1649 3298 6596 13192 25943 26384 51886 103772 207544 415088 441031 882062 1764124 2516471 3528248 5032942 7056496 10065884 20131768 40263536 42780007 85560014 171120028 342240056 684480112