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3060889416 = 2332137344797
BaseRepresentation
bin1011011001110001…
…0111011101001000
321220022121021220200
42312130113131020
522232041430131
61223421252200
7135565062564
oct26634273510
97808537820
103060889416
111330879582
12715104060
1339a1b3290
142107366a4
1512dac02e6
hexb6717748

3060889416 has 96 divisors (see below), whose sum is σ = 9050091960. Its totient is φ = 928889856.

The previous prime is 3060889397. The next prime is 3060889459. The reversal of 3060889416 is 6149880603.

3060889416 is a `hidden beast` number, since 30 + 608 + 8 + 9 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1913712516 + 1147176900 = 43746^2 + 33870^2 .

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 23 ways as a sum of consecutive naturals, for example, 45930 + ... + 90726.

Almost surely, 23060889416 is an apocalyptic number.

3060889416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3060889416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525045980).

3060889416 is an abundant number, since it is smaller than the sum of its proper divisors (5989202544).

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

3060889416 is a wasteful number, since it uses less digits than its factorization.

3060889416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44895 (or 44888 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3060889416 is about 55325.3053855105. The cubic root of 3060889416 is about 1451.9418163057.

The spelling of 3060889416 in words is "three billion, sixty million, eight hundred eighty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 468 584 657 876 936 949 1314 1752 1898 2628 2847 3796 5256 5694 7592 8541 11388 17082 22776 34164 44797 68328 89594 134391 179188 268782 358376 403173 537564 582361 806346 1075128 1164722 1612692 1747083 2329444 3225384 3270181 3494166 4658888 5241249 6540362 6988332 9810543 10482498 13080724 13976664 19621086 20964996 26161448 29431629 39242172 41929992 42512353 58863258 78484344 85024706 117726516 127537059 170049412 235453032 255074118 340098824 382611177 510148236 765222354 1020296472 1530444708 3060889416