Search a number
-
+
30233320 = 23513531097
BaseRepresentation
bin111001101010…
…1001011101000
32002220000022121
41303111023220
530214431240
63000001024
7514656535
oct163251350
962800277
1030233320
111607a817
12a160174
136357250
14402dd8c
1529c304a
hex1cd52e8

30233320 has 64 divisors (see below), whose sum is σ = 74707920. Its totient is φ = 10942464.

The previous prime is 30233309. The next prime is 30233363. The reversal of 30233320 is 2333203.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7518564 + 22714756 = 2742^2 + 4766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30233294 and 30233303.

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, 27012 + ... + 28108.

Almost surely, 230233320 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 30233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37353960).

30233320 is an abundant number, since it is smaller than the sum of its proper divisors (44474600).

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

30233320 is a wasteful number, since it uses less digits than its factorization.

30233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 30233320 is about 5498.4834272734. The cubic root of 30233320 is about 311.5267040377.

Adding to 30233320 its reverse (2333203), we get a palindrome (32566523).

The spelling of 30233320 in words is "thirty million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1097 1378 2120 2194 2756 3445 4388 5485 5512 6890 8776 10970 13780 14261 21940 27560 28522 43880 57044 58141 71305 114088 116282 142610 232564 285220 290705 465128 570440 581410 755833 1162820 1511666 2325640 3023332 3779165 6046664 7558330 15116660 30233320