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678706704 = 24321321672
BaseRepresentation
bin101000011101000…
…011111000010000
31202022002212120100
4220131003320100
52342222103304
6151203012400
722550624514
oct5035037020
91668085510
10678706704
11319126435
1216b36a100
13aa7c5400
14661d4144
153e8b8439
hex28743e10

678706704 has 135 divisors (see below), whose sum is σ = 2069175693. Its totient is φ = 207582336.

The previous prime is 678706627. The next prime is 678706729. The reversal of 678706704 is 407607876.

The square root of 678706704 is 26052.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 578306304 = 10020^2 + 24048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 678706704.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4064029 + ... + 4064195.

Almost surely, 2678706704 is an apocalyptic number.

678706704 is the 26052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678706704

678706704 is an abundant number, since it is smaller than the sum of its proper divisors (1390468989).

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

678706704 is a wasteful number, since it uses less digits than its factorization.

678706704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The cubic root of 678706704 is about 878.8080902118.

The spelling of 678706704 in words is "six hundred seventy-eight million, seven hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 167 169 208 234 312 334 338 468 501 507 624 668 676 936 1002 1014 1336 1352 1503 1521 1872 2004 2028 2171 2672 2704 3006 3042 4008 4056 4342 6012 6084 6513 8016 8112 8684 12024 12168 13026 17368 19539 24048 24336 26052 27889 28223 34736 39078 52104 55778 56446 78156 83667 84669 104208 111556 112892 156312 167334 169338 223112 225784 251001 254007 312624 334668 338676 362557 446224 451568 502002 508014 669336 677352 725114 1004004 1016028 1087671 1338672 1354704 1450228 2008008 2032056 2175342 2900456 3263013 4016016 4064112 4350684 4713241 5800912 6526026 8701368 9426482 13052052 14139723 17402736 18852964 26104104 28279446 37705928 42419169 52208208 56558892 75411856 84838338 113117784 169676676 226235568 339353352 678706704