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30282912 = 253211379
BaseRepresentation
bin111001110000…
…1010010100000
32002222112100100
41303201102200
530223023122
63001022400
7515254242
oct163412240
962875310
1030282912
1116104000
12a184a00
1363739aa
144044092
1529d2aac
hex1ce14a0

30282912 has 144 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 9060480.

The previous prime is 30282907. The next prime is 30282937. The reversal of 30282912 is 21928203.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383289 + ... + 383367.

It is an arithmetic number, because the mean of its divisors is an integer number (666120).

Almost surely, 230282912 is an apocalyptic number.

30282912 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 30282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

30282912 is an abundant number, since it is smaller than the sum of its proper divisors (65638368).

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

30282912 is a wasteful number, since it uses less digits than its factorization.

30282912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30282912 is about 5502.9911866184. The cubic root of 30282912 is about 311.6969443864.

The spelling of 30282912 in words is "thirty million, two hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 79 88 96 99 121 132 144 158 176 198 237 242 264 288 316 352 363 396 474 484 528 632 711 726 792 869 948 968 1056 1089 1264 1331 1422 1452 1584 1738 1896 1936 2178 2528 2607 2662 2844 2904 3168 3476 3792 3872 3993 4356 5214 5324 5688 5808 6952 7584 7821 7986 8712 9559 10428 10648 11376 11616 11979 13904 15642 15972 17424 19118 20856 21296 22752 23958 27808 28677 31284 31944 34848 38236 41712 42592 47916 57354 62568 63888 76472 83424 86031 95832 105149 114708 125136 127776 152944 172062 191664 210298 229416 250272 305888 315447 344124 383328 420596 458832 630894 688248 841192 917664 946341 1261788 1376496 1682384 1892682 2523576 2752992 3364768 3785364 5047152 7570728 10094304 15141456 30282912