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3030300324 = 2232232413881
BaseRepresentation
bin1011010010011110…
…1011011010100100
321211012001012120100
42310213223122210
522201224102244
61220405504100
7135044061552
oct26447533244
97735035510
103030300324
111315586537
12706a12030
13393a6311c
1420a652bd2
1512b07bb69
hexb49eb6a4

3030300324 has 108 divisors (see below), whose sum is σ = 8204863212. Its totient is φ = 942374400.

The previous prime is 3030300289. The next prime is 3030300331. The reversal of 3030300324 is 4230030303.

It can be written as a sum of positive squares in 2 ways, for example, as 880308900 + 2149991424 = 29670^2 + 46368^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3030300297 and 3030300306.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 778864 + ... + 782744.

Almost surely, 23030300324 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 3030300324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102431606).

3030300324 is an abundant number, since it is smaller than the sum of its proper divisors (5174562888).

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

3030300324 is a wasteful number, since it uses less digits than its factorization.

3030300324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3030300324 is about 55048.1636750946. The cubic root of 3030300324 is about 1447.0889394497.

Adding to 3030300324 its reverse (4230030303), we get a palindrome (7260330627).

The spelling of 3030300324 in words is "three billion, thirty million, three hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 529 738 828 943 1058 1476 1587 1886 2116 2829 3174 3772 3881 4761 5658 6348 7762 8487 9522 11316 11643 15524 16974 19044 21689 23286 33948 34929 43378 46572 65067 69858 86756 89263 130134 139716 159121 178526 195201 260268 267789 318242 357052 390402 477363 535578 636484 780804 803367 954726 1071156 1432089 1606734 1909452 2053049 2864178 3213468 3659783 4106098 5728356 6159147 7319566 8212196 10979349 12318294 14639132 18477441 21958698 24636588 32938047 36954882 43917396 65876094 73909764 84175009 131752188 168350018 252525027 336700036 505050054 757575081 1010100108 1515150162 3030300324