Search a number
-
+
30043728 = 243211131459
BaseRepresentation
bin111001010011…
…0111001010000
32002112101020200
41302212321100
530142344403
62551535200
7513240021
oct162467120
962471220
1030043728
1115a60330
12a08a500
1362bbb70
143dc0c48
152986ca3
hex1ca6e50

30043728 has 120 divisors (see below), whose sum is σ = 98847840. Its totient is φ = 8398080.

The previous prime is 30043703. The next prime is 30043729. The reversal of 30043728 is 82734003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30043729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19863 + ... + 21321.

It is an arithmetic number, because the mean of its divisors is an integer number (823732).

Almost surely, 230043728 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 30043728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49423920).

30043728 is an abundant number, since it is smaller than the sum of its proper divisors (68804112).

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

30043728 is a wasteful number, since it uses less digits than its factorization.

30043728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30043728 is about 5481.2159234973. The cubic root of 30043728 is about 310.8741473734.

The spelling of 30043728 in words is "thirty million, forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1459 1584 1716 1872 2288 2574 2918 3432 4377 5148 5836 6864 8754 10296 11672 13131 16049 17508 18967 20592 23344 26262 32098 35016 37934 48147 52524 56901 64196 70032 75868 96294 105048 113802 128392 144441 151736 170703 192588 208637 210096 227604 256784 288882 303472 341406 385176 417274 455208 577764 625911 682812 770352 834548 910416 1155528 1251822 1365624 1669096 1877733 2311056 2503644 2731248 3338192 3755466 5007288 7510932 10014576 15021864 30043728