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30774912 = 27371072
BaseRepresentation
bin111010101100…
…1011010000000
32010220112020120
41311121122000
530334244122
63015340240
7522403530
oct165313200
963815216
1030774912
111640a713
12a381680
1364b690c
1441314c0
152a7d75c
hex1d59680

30774912 has 96 divisors (see below), whose sum is σ = 94305120. Its totient is φ = 8710656.

The previous prime is 30774911. The next prime is 30774917. The reversal of 30774912 is 21947703.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (30774911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287563 + ... + 287669.

It is an arithmetic number, because the mean of its divisors is an integer number (982345).

Almost surely, 230774912 is an apocalyptic number.

30774912 is a gapful number since it is divisible by the number (32) 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 30774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47152560).

30774912 is an abundant number, since it is smaller than the sum of its proper divisors (63530208).

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

30774912 is an equidigital number, since it uses as much as digits as its factorization.

30774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 30774912 is about 5547.5140378371. The cubic root of 30774912 is about 313.3759089070.

The spelling of 30774912 in words is "thirty million, seven hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 321 336 384 428 448 642 672 749 856 896 1284 1344 1498 1712 2247 2568 2688 2996 3424 4494 5136 5992 6848 8988 10272 11449 11984 13696 17976 20544 22898 23968 34347 35952 41088 45796 47936 68694 71904 80143 91592 95872 137388 143808 160286 183184 240429 274776 287616 320572 366368 480858 549552 641144 732736 961716 1099104 1282288 1465472 1923432 2198208 2564576 3846864 4396416 5129152 7693728 10258304 15387456 30774912