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30308608 = 281147229
BaseRepresentation
bin111001110011…
…1100100000000
32010000211121001
41303213210000
530224333413
63001341344
7515422201
oct163474400
963024531
1030308608
1116121340
12a197854
1363825b5
14404d5a8
1529da4dd
hex1ce7900

30308608 has 72 divisors (see below), whose sum is σ = 67697280. Its totient is φ = 13424640.

The previous prime is 30308581. The next prime is 30308609. The reversal of 30308608 is 80680303.

It is a super-2 number, since 2×303086082 = 1837223437795328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30308609) 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 7 ways as a sum of consecutive naturals, for example, 132238 + ... + 132466.

It is an arithmetic number, because the mean of its divisors is an integer number (940240).

Almost surely, 230308608 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 30308608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33848640).

30308608 is an abundant number, since it is smaller than the sum of its proper divisors (37388672).

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

30308608 is a wasteful number, since it uses less digits than its factorization.

30308608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 30308608 is about 5505.3254218075. The cubic root of 30308608 is about 311.7850810046.

The spelling of 30308608 in words is "thirty million, three hundred eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 229 256 352 376 458 517 704 752 916 1034 1408 1504 1832 2068 2519 2816 3008 3664 4136 5038 6016 7328 8272 10076 10763 12032 14656 16544 20152 21526 29312 33088 40304 43052 58624 66176 80608 86104 118393 132352 161216 172208 236786 322432 344416 473572 644864 688832 947144 1377664 1894288 2755328 3788576 7577152 15154304 30308608