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30682368 = 283323193
BaseRepresentation
bin111010100001…
…0110100000000
32010201211022000
41311002310000
530323313433
63013344000
7521536653
oct165026400
963654260
1030682368
1116357132
12a338000
136483762
14410989a
152a61113
hex1d42d00

30682368 has 144 divisors (see below), whose sum is σ = 95168640. Its totient is φ = 9732096.

The previous prime is 30682339. The next prime is 30682373. The reversal of 30682368 is 86328603.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158880 + ... + 159072.

Almost surely, 230682368 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 30682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47584320).

30682368 is an abundant number, since it is smaller than the sum of its proper divisors (64486272).

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

30682368 is a wasteful number, since it uses less digits than its factorization.

30682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30682368 is about 5539.1667243368. The cubic root of 30682368 is about 313.0614733617.

The spelling of 30682368 in words is "thirty million, six hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 193 207 216 256 276 288 368 384 386 414 432 552 576 579 621 736 768 772 828 864 1104 1152 1158 1242 1472 1544 1656 1728 1737 2208 2304 2316 2484 2944 3088 3312 3456 3474 4416 4439 4632 4968 5211 5888 6176 6624 6912 6948 8832 8878 9264 9936 10422 12352 13248 13317 13896 17664 17756 18528 19872 20844 24704 26496 26634 27792 35512 37056 39744 39951 41688 49408 52992 53268 55584 71024 74112 79488 79902 83376 106536 111168 119853 142048 148224 158976 159804 166752 213072 222336 239706 284096 319608 333504 426144 444672 479412 568192 639216 667008 852288 958824 1136384 1278432 1334016 1704576 1917648 2556864 3409152 3835296 5113728 7670592 10227456 15341184 30682368