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3001340320 = 255111989753
BaseRepresentation
bin1011001011100100…
…1101000110100000
321202011112212220121
42302321031012200
522121320342240
61213453050024
7134242654216
oct26271150640
97664485817
103001340320
1113001a6450
126b9186914
1338aa63624
14206874cb6
1512875b04a
hexb2e4d1a0

3001340320 has 96 divisors (see below), whose sum is σ = 8142482880. Its totient is φ = 1033943040.

The previous prime is 3001340291. The next prime is 3001340333. The reversal of 3001340320 is 230431003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3001340294 and 3001340303.

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, 11437 + ... + 78316.

It is an arithmetic number, because the mean of its divisors is an integer number (84817530).

Almost surely, 23001340320 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 3001340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071241440).

3001340320 is an abundant number, since it is smaller than the sum of its proper divisors (5141142560).

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

3001340320 is a wasteful number, since it uses less digits than its factorization.

3001340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89798 (or 89790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3001340320 is about 54784.4897758481. The cubic root of 3001340320 is about 1442.4643245444.

Adding to 3001340320 its reverse (230431003), we get a palindrome (3231771323).

The spelling of 3001340320 in words is "three billion, one million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 89753 179506 359012 448765 718024 897530 987283 1436048 1705307 1795060 1974566 2872096 3410614 3590120 3949132 4936415 6821228 7180240 7898264 8526535 9872830 13642456 14360480 15796528 17053070 18758377 19745660 27284912 31593056 34106140 37516754 39491320 54569824 68212280 75033508 78982640 93791885 136424560 150067016 157965280 187583770 272849120 300134032 375167540 600268064 750335080 1500670160 3001340320