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3009880000 = 2654471601
BaseRepresentation
bin1011001101100111…
…0001111111000000
321202202121202011001
42303121301333000
522131012130000
61214400101344
7134405362231
oct26331617700
97682552131
103009880000
111304aa9436
12700004854
1338c7635aa
14207a59088
1512939646a
hexb3671fc0

3009880000 has 140 divisors (see below), whose sum is σ = 7627083552. Its totient is φ = 1177600000.

The previous prime is 3009879967. The next prime is 3009880001. The reversal of 3009880000 is 889003.

It is a super-2 number, since 2×30098800002 = 18118755228800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009880001) 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 19 ways as a sum of consecutive naturals, for example, 1879200 + ... + 1880800.

Almost surely, 23009880000 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 3009880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813541776).

3009880000 is an abundant number, since it is smaller than the sum of its proper divisors (4617203552).

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

3009880000 is an equidigital number, since it uses as much as digits as its factorization.

3009880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 3009880000 is about 54862.3732625558. The cubic root of 3009880000 is about 1443.8311049307.

The spelling of 3009880000 in words is "three billion, nine million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 160 188 200 235 250 320 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1600 1601 1880 2000 2350 2500 3008 3202 3760 4000 4700 5000 5875 6404 7520 8000 8005 9400 10000 11750 12808 15040 16010 18800 20000 23500 25616 29375 32020 37600 40000 40025 47000 51232 58750 64040 75200 75247 80050 94000 102464 117500 128080 150494 160100 188000 200125 235000 256160 300988 320200 376000 376235 400250 470000 512320 601976 640400 752470 800500 940000 1000625 1203952 1280800 1504940 1601000 1880000 1881175 2001250 2407904 2561600 3009880 3202000 3762350 4002500 4815808 6019760 6404000 7524700 8005000 9405875 12039520 12808000 15049400 16010000 18811750 24079040 30098800 32020000 37623500 47029375 60197600 64040000 75247000 94058750 120395200 150494000 188117500 300988000 376235000 601976000 752470000 1504940000 3009880000