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3000031800 = 2335210914583
BaseRepresentation
bin1011001011010000…
…1101101000111000
321202002002101221220
42302310031220320
522121002004200
61213405032040
7134225564253
oct26264155070
97662071856
103000031800
1112aa492327
126b8855620
1338a6c5b5c
1420661409a
1512859d4a0
hexb2d0da38

3000031800 has 96 divisors (see below), whose sum is σ = 9310654080. Its totient is φ = 799100800.

The previous prime is 3000031753. The next prime is 3000031829. The reversal of 3000031800 is 81300003.

It is a super-2 number, since 2×30000318002 = 18000381602022480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3000031800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652309 + ... + 656891.

It is an arithmetic number, because the mean of its divisors is an integer number (96985980).

Almost surely, 23000031800 is an apocalyptic number.

3000031800 is a gapful number since it is divisible by the number (30) 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 3000031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655327040).

3000031800 is an abundant number, since it is smaller than the sum of its proper divisors (6310622280).

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

3000031800 is a wasteful number, since it uses less digits than its factorization.

3000031800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3000031800 is about 54772.5460427028. The cubic root of 3000031800 is about 1442.2546662379.

Adding to 3000031800 its reverse (81300003), we get a palindrome (3081331803).

The spelling of 3000031800 in words is "three billion, thirty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1091 2182 3273 4364 4583 5455 6546 8728 9166 10910 13092 13749 16365 18332 21820 22915 26184 27275 27498 32730 36664 43640 45830 54550 54996 65460 68745 81825 91660 109100 109992 114575 130920 137490 163650 183320 218200 229150 274980 327300 343725 458300 549960 654600 687450 916600 1374900 2749800 5000053 10000106 15000159 20000212 25000265 30000318 40000424 50000530 60000636 75000795 100001060 120001272 125001325 150001590 200002120 250002650 300003180 375003975 500005300 600006360 750007950 1000010600 1500015900 3000031800