Search a number
-
+
688346676 = 223234755103
BaseRepresentation
bin101001000001110…
…101011000110100
31202222020122010100
4221001311120310
52402204043201
6152145354100
723025564423
oct5101653064
91688218110
10688346676
11323610056
12172638930
13ac7bc134
14675c32ba
154066e886
hex29075634

688346676 has 36 divisors (see below), whose sum is σ = 1745033472. Its totient is φ = 228783504.

The previous prime is 688346651. The next prime is 688346689. The reversal of 688346676 is 676643886.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×6883466763 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 15060 + ... + 40043.

It is an arithmetic number, because the mean of its divisors is an integer number (48473152).

Almost surely, 2688346676 is an apocalyptic number.

It is an amenable number.

688346676 is an abundant number, since it is smaller than the sum of its proper divisors (1056686796).

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

688346676 is a wasteful number, since it uses less digits than its factorization.

688346676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55460 (or 55455 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 688346676 is about 26236.3617142316. The cubic root of 688346676 is about 882.9492456506.

The spelling of 688346676 in words is "six hundred eighty-eight million, three hundred forty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 347 694 1041 1388 2082 3123 4164 6246 12492 55103 110206 165309 220412 330618 495927 661236 991854 1983708 19120741 38241482 57362223 76482964 114724446 172086669 229448892 344173338 688346676