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3012132320 = 255197871259
BaseRepresentation
bin1011001110001001…
…0111110111100000
321202220212011202022
42303202113313200
522132101213240
61214520241012
7134433462611
oct26342276740
97686764668
103012132320
1113062a765a
12700910168
13390071822
14208083c08
1512968d9b5
hexb3897de0

3012132320 has 96 divisors (see below), whose sum is σ = 7506172800. Its totient is φ = 1139083776.

The previous prime is 3012132317. The next prime is 3012132323. The reversal of 3012132320 is 232312103.

It is an interprime number because it is at equal distance from previous prime (3012132317) and next prime (3012132323).

It is a super-2 number, since 2×30121323202 = 18145882226377164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012132323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391851 + ... + 2393109.

It is an arithmetic number, because the mean of its divisors is an integer number (78189300).

Almost surely, 23012132320 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 3012132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753086400).

3012132320 is an abundant number, since it is smaller than the sum of its proper divisors (4494040480).

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

3012132320 is a wasteful number, since it uses less digits than its factorization.

3012132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3012132320 is about 54882.8964250248. The cubic root of 3012132320 is about 1444.1911590250.

Adding to 3012132320 its reverse (232312103), we get a palindrome (3244444423).

The spelling of 3012132320 in words is "three billion, twelve million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 787 1259 1520 1574 2518 3040 3148 3935 5036 6295 6296 7870 10072 12590 12592 14953 15740 20144 23921 25180 25184 29906 31480 40288 47842 50360 59812 62960 74765 95684 100720 119605 119624 125920 149530 191368 201440 239210 239248 299060 382736 478420 478496 598120 765472 956840 990833 1196240 1913680 1981666 2392480 3827360 3963332 4954165 7926664 9908330 15853328 18825827 19816660 31706656 37651654 39633320 75303308 79266640 94129135 150606616 158533280 188258270 301213232 376516540 602426464 753033080 1506066160 3012132320