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30123320 = 23517311429
BaseRepresentation
bin111001011101…
…0010100111000
32002200102102112
41302322110320
530202421240
62553351452
7514021043
oct162722470
962612375
1030123320
1116005107
12a108588
136319166
144001c5a
1529a0665
hex1cba538

30123320 has 64 divisors (see below), whose sum is σ = 74131200. Its totient is φ = 10967040.

The previous prime is 30123281. The next prime is 30123329. The reversal of 30123320 is 2332103.

It is a super-3 number, since 3×301233203 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30123295 and 30123304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30123329) 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 15 ways as a sum of consecutive naturals, for example, 20366 + ... + 21794.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 230123320 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 30123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065600).

30123320 is an abundant number, since it is smaller than the sum of its proper divisors (44007880).

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

30123320 is a wasteful number, since it uses less digits than its factorization.

30123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 30123320 is about 5488.4715540850. The cubic root of 30123320 is about 311.1484284413.

Adding to 30123320 its reverse (2332103), we get a palindrome (32455423).

The spelling of 30123320 in words is "thirty million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 1429 2108 2635 2858 4216 5270 5716 7145 10540 11432 14290 21080 24293 28580 44299 48586 57160 88598 97172 121465 177196 194344 221495 242930 354392 442990 485860 753083 885980 971720 1506166 1771960 3012332 3765415 6024664 7530830 15061660 30123320