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678676352 = 27191791559
BaseRepresentation
bin101000011100111…
…100011110000000
31202022001022221012
4220130330132000
52342220120402
6151202220052
722550440154
oct5034743600
91668038835
10678676352
11319105652
1216b354628
13aa7b4653
14661c7064
153e8ae452
hex2873c780

678676352 has 64 divisors (see below), whose sum is σ = 1432080000. Its totient is φ = 319477248.

The previous prime is 678676331. The next prime is 678676367. The reversal of 678676352 is 253676876.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 678676352.

It is a congruent number.

It is an unprimeable number.

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, 434549 + ... + 436107.

It is an arithmetic number, because the mean of its divisors is an integer number (22376250).

Almost surely, 2678676352 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 678676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040000).

678676352 is an abundant number, since it is smaller than the sum of its proper divisors (753403648).

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

678676352 is a wasteful number, since it uses less digits than its factorization.

678676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1759 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 50.

The square root of 678676352 is about 26051.4174662340. The cubic root of 678676352 is about 878.7949898153.

It can be divided in two parts, 6786 and 76352, that added together give a palindrome (83138).

The spelling of 678676352 in words is "six hundred seventy-eight million, six hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 179 304 358 608 716 1216 1432 1559 2432 2864 3118 3401 5728 6236 6802 11456 12472 13604 22912 24944 27208 29621 49888 54416 59242 99776 108832 118484 199552 217664 236968 279061 435328 473936 558122 947872 1116244 1895744 2232488 3791488 4464976 5302159 8929952 10604318 17859904 21208636 35719808 42417272 84834544 169669088 339338176 678676352