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30293328 = 24313431129
BaseRepresentation
bin111001110001…
…1110101010000
32010000001122010
41303203311100
530223341303
63001142520
7515326512
oct163436520
963001563
1030293328
111611090a
12a18aa40
136378660
144047bb2
1529d5c03
hex1ce3d50

30293328 has 80 divisors (see below), whose sum is σ = 86313920. Its totient is φ = 9096192.

The previous prime is 30293317. The next prime is 30293359. The reversal of 30293328 is 82339203.

It is a junction number, because it is equal to n+sod(n) for n = 30293295 and 30293304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26268 + ... + 27396.

It is an arithmetic number, because the mean of its divisors is an integer number (1078924).

Almost surely, 230293328 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 30293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43156960).

30293328 is an abundant number, since it is smaller than the sum of its proper divisors (56020592).

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

30293328 is a wasteful number, since it uses less digits than its factorization.

30293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 30293328 is about 5503.9374996451. The cubic root of 30293328 is about 311.7326770048.

The spelling of 30293328 in words is "thirty million, two hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1129 1677 2064 2236 2258 3354 3387 4472 4516 6708 6774 8944 9032 13416 13548 14677 18064 26832 27096 29354 44031 48547 54192 58708 88062 97094 117416 145641 176124 194188 234832 291282 352248 388376 582564 631111 704496 776752 1165128 1262222 1893333 2330256 2524444 3786666 5048888 7573332 10097776 15146664 30293328