Search a number
-
+
6345377364 = 22317294572347
BaseRepresentation
bin1011110100011011…
…01100011001010100
3121101012221120100110
411322031230121110
5100443404033424
62525351243020
7313146550314
oct57215543124
917335846313
106345377364
112766888a27
121291079470
137a17c3b81
14442a35444
1527210bc29
hex17a36c654

6345377364 has 96 divisors (see below), whose sum is σ = 16259806080. Its totient is φ = 1917038592.

The previous prime is 6345377359. The next prime is 6345377377. The reversal of 6345377364 is 4637735436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2702439 + ... + 2704785.

It is an arithmetic number, because the mean of its divisors is an integer number (169372980).

Almost surely, 26345377364 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 6345377364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8129903040).

6345377364 is an abundant number, since it is smaller than the sum of its proper divisors (9914428716).

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

6345377364 is a wasteful number, since it uses less digits than its factorization.

6345377364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2855 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 48.

The square root of 6345377364 is about 79657.8769739691. The cubic root of 6345377364 is about 1851.3384386883.

The spelling of 6345377364 in words is "six billion, three hundred forty-five million, three hundred seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 457 493 914 986 1371 1479 1828 1972 2347 2742 2958 4694 5484 5916 7041 7769 9388 13253 14082 15538 23307 26506 28164 31076 39759 39899 46614 53012 68063 79518 79798 93228 119697 136126 159036 159596 204189 225301 239394 272252 408378 450602 478788 675903 816756 901204 1072579 1157071 1351806 2145158 2314142 2703612 3217737 3471213 4290316 4628284 6435474 6942426 12870948 13884852 18233843 31104791 36467686 54701529 62209582 72935372 93314373 109403058 124419164 186628746 218806116 373257492 528781447 1057562894 1586344341 2115125788 3172688682 6345377364