Search a number
-
+
30282336 = 253471669
BaseRepresentation
bin111001110000…
…1001001100000
32002222111120000
41303201021200
530223013321
63001020000
7515252460
oct163411140
962874500
1030282336
1116103627
12a184600
136373656
144043ba0
1529d2826
hex1ce1260

30282336 has 120 divisors (see below), whose sum is σ = 101843280. Its totient is φ = 8646912.

The previous prime is 30282331. The next prime is 30282337. The reversal of 30282336 is 63328203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30282331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17310 + ... + 18978.

It is an arithmetic number, because the mean of its divisors is an integer number (848694).

Almost surely, 230282336 is an apocalyptic number.

30282336 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 30282336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50921640).

30282336 is an abundant number, since it is smaller than the sum of its proper divisors (71560944).

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

30282336 is a wasteful number, since it uses less digits than its factorization.

30282336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30282336 is about 5502.9388511958. The cubic root of 30282336 is about 311.6949681501.

The spelling of 30282336 in words is "thirty million, two hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 1669 2016 2268 2592 3024 3338 4536 5007 6048 6676 9072 10014 11683 13352 15021 18144 20028 23366 26704 30042 35049 40056 45063 46732 53408 60084 70098 80112 90126 93464 105147 120168 135189 140196 160224 180252 186928 210294 240336 270378 280392 315441 360504 373856 420588 480672 540756 560784 630882 721008 841176 946323 1081512 1121568 1261764 1442016 1682352 1892646 2163024 2523528 3364704 3785292 4326048 5047056 7570584 10094112 15141168 30282336