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3004320030 = 2352322719181
BaseRepresentation
bin1011001100010010…
…0100100100011110
321202101011021022020
42303010210210132
522123101220110
61214041001010
7134310204345
oct26304444436
97671137266
103004320030
111301951118
126ba183166
1338b56797a
1420700cb5c
15128b48d70
hexb312491e

3004320030 has 64 divisors (see below), whose sum is σ = 7557401088. Its totient is φ = 762903680.

The previous prime is 3004320029. The next prime is 3004320031. The reversal of 3004320030 is 300234003.

It is an interprime number because it is at equal distance from previous prime (3004320029) and next prime (3004320031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 3004319991 and 3004320009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004320031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147040 + ... + 166220.

It is an arithmetic number, because the mean of its divisors is an integer number (118084392).

Almost surely, 23004320030 is an apocalyptic number.

3004320030 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 3004320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778700544).

3004320030 is an abundant number, since it is smaller than the sum of its proper divisors (4553081058).

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

3004320030 is a wasteful number, since it uses less digits than its factorization.

3004320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19441.

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3004320030 is about 54811.6778615652. The cubic root of 3004320030 is about 1442.9415228753.

Adding to 3004320030 its reverse (300234003), we get a palindrome (3304554033).

It can be divided in two parts, 300 and 4320030, that added together give a triangular number (4320330 = T2939).

The spelling of 3004320030 in words is "three billion, four million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 227 230 345 454 681 690 1135 1362 2270 3405 5221 6810 10442 15663 19181 26105 31326 38362 52210 57543 78315 95905 115086 156630 191810 287715 441163 575430 882326 1323489 2205815 2646978 4354087 4411630 6617445 8708174 13062261 13234890 21770435 26124522 43540870 65311305 100144001 130622610 200288002 300432003 500720005 600864006 1001440010 1502160015 3004320030