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30338048 = 210134353
BaseRepresentation
bin111001110111…
…0110000000000
32010002022222102
41303232300000
530231304143
63002125532
7515604056
oct163566000
963068872
1030338048
1116141474
12a1b08a8
136392b10
14405a1d6
1529e40b8
hex1ceec00

30338048 has 88 divisors (see below), whose sum is σ = 68091408. Its totient is φ = 13418496.

The previous prime is 30338029. The next prime is 30338071. The reversal of 30338048 is 84083303.

It is a self number, because there is not a number n which added to its sum of digits gives 30338048.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 572390 + ... + 572442.

It is an arithmetic number, because the mean of its divisors is an integer number (773766).

Almost surely, 230338048 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 30338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045704).

30338048 is an abundant number, since it is smaller than the sum of its proper divisors (37753360).

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

30338048 is a wasteful number, since it uses less digits than its factorization.

30338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 30338048 is about 5507.9985475670. The cubic root of 30338048 is about 311.8859982360.

The spelling of 30338048 in words is "thirty million, three hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 53 64 86 104 106 128 172 208 212 256 344 416 424 512 559 688 689 832 848 1024 1118 1376 1378 1664 1696 2236 2279 2752 2756 3328 3392 4472 4558 5504 5512 6656 6784 8944 9116 11008 11024 13312 13568 17888 18232 22016 22048 27136 29627 35776 36464 44032 44096 54272 59254 71552 72928 88192 118508 143104 145856 176384 237016 286208 291712 352768 474032 572416 583424 705536 948064 1166848 1896128 2333696 3792256 7584512 15169024 30338048