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3453284538 = 23211231933929
BaseRepresentation
bin1100110111010100…
…1111000010111010
322220122222000211100
43031311033002322
524033020101123
61330355512230
7151401301644
oct31565170272
98818860740
103453284538
11151231a870
128045b8676
13430591242
1424a8bb894
15153280643
hexcdd4f0ba

3453284538 has 96 divisors (see below), whose sum is σ = 8563501440. Its totient is φ = 995512320.

The previous prime is 3453284521. The next prime is 3453284539. The reversal of 3453284538 is 8354823543.

3453284538 is a `hidden beast` number, since 3 + 4 + 5 + 32 + 84 + 538 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3453284493 and 3453284502.

It is not an unprimeable number, because it can be changed into a prime (3453284539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876958 + ... + 880886.

It is an arithmetic number, because the mean of its divisors is an integer number (89203140).

Almost surely, 23453284538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3453284538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281750720).

3453284538 is an abundant number, since it is smaller than the sum of its proper divisors (5110216902).

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

3453284538 is a wasteful number, since it uses less digits than its factorization.

3453284538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4161 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 3453284538 is about 58764.6538150273. The cubic root of 3453284538 is about 1511.5091760564.

It can be divided in two parts, 345328 and 4538, that added together give a triangular number (349866 = T836).

The spelling of 3453284538 in words is "three billion, four hundred fifty-three million, two hundred eighty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 193 198 207 253 386 414 506 579 759 1158 1518 1737 2123 2277 3474 3929 4246 4439 4554 6369 7858 8878 11787 12738 13317 19107 23574 26634 35361 38214 39951 43219 48829 70722 79902 86438 90367 97658 129657 146487 180734 259314 271101 292974 388971 439461 542202 758297 777942 813303 878922 994037 1516594 1626606 1988074 2274891 2982111 4549782 5964222 6824673 8341267 8946333 13649346 16682534 17440831 17892666 25023801 34881662 50047602 52322493 75071403 104644986 150142806 156967479 191849141 313934958 383698282 575547423 1151094846 1726642269 3453284538