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30337824 = 2531128729
BaseRepresentation
bin111001110111…
…0101100100000
32010002022200010
41303232230200
530231302244
63002124520
7515603316
oct163565440
963068603
1030337824
1116141290
12a1b0740
13639299a
14405a0b6
1529e3eb9
hex1ceeb20

30337824 has 48 divisors (see below), whose sum is σ = 86879520. Its totient is φ = 9192960.

The previous prime is 30337823. The next prime is 30337829. The reversal of 30337824 is 42873303.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 30337791 and 30337800.

It is not an unprimeable number, because it can be changed into a prime (30337823) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13309 + ... + 15420.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 230337824 is an apocalyptic number.

It is an amenable number.

30337824 is an abundant number, since it is smaller than the sum of its proper divisors (56541696).

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

30337824 is a wasteful number, since it uses less digits than its factorization.

30337824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28753 (or 28745 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 30337824 is about 5507.9782134645. The cubic root of 30337824 is about 311.8852306340.

The spelling of 30337824 in words is "thirty million, three hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 28729 57458 86187 114916 172374 229832 316019 344748 459664 632038 689496 919328 948057 1264076 1378992 1896114 2528152 2757984 3792228 5056304 7584456 10112608 15168912 30337824