Search a number
-
+
3002120304 = 2431716672207
BaseRepresentation
bin1011001011110000…
…1011100001110000
321202020000111211220
42302330023201300
522122020322204
61213521505040
7134252413221
oct26274134160
97666014756
103002120304
111300689467
126b94a2180
1338ac77661
142069d9248
151288621d9
hexb2f0b870

3002120304 has 80 divisors (see below), whose sum is σ = 8220331008. Its totient is φ = 940850176.

The previous prime is 3002120269. The next prime is 3002120351. The reversal of 3002120304 is 4030212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359169 + ... + 1361375.

Almost surely, 23002120304 is an apocalyptic number.

3002120304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110165504).

3002120304 is an abundant number, since it is smaller than the sum of its proper divisors (5218210704).

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

3002120304 is a wasteful number, since it uses less digits than its factorization.

3002120304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3002120304 is about 54791.6079705643. The cubic root of 3002120304 is about 1442.5892689054.

Adding to 3002120304 its reverse (4030212003), we get a palindrome (7032332307).

The spelling of 3002120304 in words is "three billion, two million, one hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1667 2207 3334 4414 5001 6621 6668 8828 10002 13242 13336 17656 20004 26484 26672 28339 35312 37519 40008 52968 56678 75038 80016 85017 105936 112557 113356 150076 170034 225114 226712 300152 340068 450228 453424 600304 680136 900456 1360272 1800912 3679069 7358138 11037207 14716276 22074414 29432552 44148828 58865104 62544173 88297656 125088346 176595312 187632519 250176692 375265038 500353384 750530076 1000706768 1501060152 3002120304