Search a number
-
+
3004244130 = 2352322919013
BaseRepresentation
bin1011001100010001…
…0010000010100010
321202101000102012010
42303010102002202
522123041303010
61214035213350
7134306440146
oct26304220242
97671012163
103004244130
1113018aa098
126ba147256
1338b53c264
14206dcd226
15128b31620
hexb31120a2

3004244130 has 64 divisors (see below), whose sum is σ = 7556924160. Its totient is φ = 762913536.

The previous prime is 3004244123. The next prime is 3004244143. The reversal of 3004244130 is 314424003.

It is a junction number, because it is equal to n+sod(n) for n = 3004244097 and 3004244106.

It is an unprimeable number.

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, 148504 + ... + 167516.

It is an arithmetic number, because the mean of its divisors is an integer number (118076940).

Almost surely, 23004244130 is an apocalyptic number.

3004244130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004244130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778462080).

3004244130 is an abundant number, since it is smaller than the sum of its proper divisors (4552680030).

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

3004244130 is a wasteful number, since it uses less digits than its factorization.

3004244130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19275.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3004244130 is about 54810.9854864880. The cubic root of 3004244130 is about 1442.9293714642.

Adding to 3004244130 its reverse (314424003), we get a palindrome (3318668133).

The spelling of 3004244130 in words is "three billion, four million, two hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 229 230 345 458 687 690 1145 1374 2290 3435 5267 6870 10534 15801 19013 26335 31602 38026 52670 57039 79005 95065 114078 158010 190130 285195 437299 570390 874598 1311897 2186495 2623794 4353977 4372990 6559485 8707954 13061931 13118970 21769885 26123862 43539770 65309655 100141471 130619310 200282942 300424413 500707355 600848826 1001414710 1502122065 3004244130