Search a number
-
+
3002324000 = 25531357737
BaseRepresentation
bin1011001011110011…
…1101010000100000
321202020101212021012
42302330331100200
522122043332000
61213530120052
7134254222124
oct26274752040
97666355235
103002324000
111300808505
126b9580028
1338b0192a0
14206a4d584
151288a2735
hexb2f3d420

3002324000 has 96 divisors (see below), whose sum is σ = 7944286896. Its totient is φ = 1108531200.

The previous prime is 3002323993. The next prime is 3002324009. The reversal of 3002324000 is 4232003.

It can be written as a sum of positive squares in 8 ways, for example, as 169104016 + 2833219984 = 13004^2 + 53228^2 .

It is not an unprimeable number, because it can be changed into a prime (3002324009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23132 + ... + 80868.

Almost surely, 23002324000 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 3002324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972143448).

3002324000 is an abundant number, since it is smaller than the sum of its proper divisors (4941962896).

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

3002324000 is a wasteful number, since it uses less digits than its factorization.

3002324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57775 (or 57757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3002324000 is about 54793.4667638396. The cubic root of 3002324000 is about 1442.6218950705.

Adding to 3002324000 its reverse (4232003), we get a palindrome (3006556003).

The spelling of 3002324000 in words is "three billion, two million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 57737 115474 230948 288685 461896 577370 750581 923792 1154740 1443425 1501162 1847584 2309480 2886850 3002324 3752905 4618960 5773700 6004648 7217125 7505810 9237920 11547400 12009296 14434250 15011620 18764525 23094800 24018592 28868500 30023240 37529050 46189600 57737000 60046480 75058100 93822625 115474000 120092960 150116200 187645250 230948000 300232400 375290500 600464800 750581000 1501162000 3002324000