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30230928 = 2433713769
BaseRepresentation
bin111001101010…
…0100110010000
32002212220001000
41303110212100
530214342203
62555542000
7514646550
oct163244620
962786030
1030230928
1116078a42
12a15a900
136356130
14402d160
1529c24a3
hex1cd4990

30230928 has 160 divisors (see below), whose sum is σ = 106937600. Its totient is φ = 7962624.

The previous prime is 30230927. The next prime is 30230933. The reversal of 30230928 is 82903203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30230927) 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 31 ways as a sum of consecutive naturals, for example, 38928 + ... + 39696.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 230230928 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 30230928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53468800).

30230928 is an abundant number, since it is smaller than the sum of its proper divisors (76706672).

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

30230928 is a wasteful number, since it uses less digits than its factorization.

30230928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30230928 is about 5498.2659084479. The cubic root of 30230928 is about 311.5184880304.

The spelling of 30230928 in words is "thirty million, two hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 769 819 936 1008 1092 1404 1456 1512 1538 1638 1872 2184 2307 2457 2808 3024 3076 3276 4368 4614 4914 5383 5616 6152 6552 6921 9228 9828 9997 10766 12304 13104 13842 16149 18456 19656 19994 20763 21532 27684 29991 32298 36912 39312 39988 41526 43064 48447 55368 59982 64596 69979 79976 83052 86128 89973 96894 110736 119964 129192 139958 145341 159952 166104 179946 193788 209937 239928 258384 269919 279916 290682 332208 359892 387576 419874 479856 539838 559832 581364 629811 719784 775152 839748 1079676 1119664 1162728 1259622 1439568 1679496 1889433 2159352 2325456 2519244 3358992 3778866 4318704 5038488 7557732 10076976 15115464 30230928