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30338028 = 22327131919
BaseRepresentation
bin111001110111…
…0101111101100
32010002022221200
41303232233230
530231304103
63002125500
7515604030
oct163565754
963068850
1030338028
1116141456
12a1b0890
136392ac6
14405a1c0
1529e40a3
hex1ceebec

30338028 has 72 divisors (see below), whose sum is σ = 88408320. Its totient is φ = 8592480.

The previous prime is 30338027. The next prime is 30338029. The reversal of 30338028 is 82083303.

It is an interprime number because it is at equal distance from previous prime (30338027) and next prime (30338029).

It is a junction number, because it is equal to n+sod(n) for n = 30337992 and 30338010.

It is not an unprimeable number, because it can be changed into a prime (30338023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32553 + ... + 33471.

Almost surely, 230338028 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 30338028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44204160).

30338028 is an abundant number, since it is smaller than the sum of its proper divisors (58070292).

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

30338028 is a wasteful number, since it uses less digits than its factorization.

30338028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30338028 is about 5507.9967320252. The cubic root of 30338028 is about 311.8859297002.

The spelling of 30338028 in words is "thirty million, three hundred thirty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 919 1179 1572 1834 1838 2358 2751 2757 3668 3676 4716 5502 5514 6433 8253 8271 11004 11028 12866 16506 16542 19299 25732 33012 33084 38598 57897 77196 115794 120389 231588 240778 361167 481556 722334 842723 1083501 1444668 1685446 2167002 2528169 3370892 4334004 5056338 7584507 10112676 15169014 30338028