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3034115200 = 27521974813
BaseRepresentation
bin1011010011011000…
…1110110010000000
321211110020000121001
42310312032302000
522203213141300
61221023341344
7135121360624
oct26466166200
97743200531
103034115200
111317751726
12708151854
1339479a64c
1420ad67184
1512b58216a
hexb4d8ec80

3034115200 has 96 divisors (see below), whose sum is σ = 7534824660. Its totient is φ = 1207234560.

The previous prime is 3034115191. The next prime is 3034115233. The reversal of 3034115200 is 25114303.

It can be written as a sum of positive squares in 6 ways, for example, as 2397865024 + 636250176 = 48968^2 + 25224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627994 + ... + 632806.

Almost surely, 23034115200 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 3034115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767412330).

3034115200 is an abundant number, since it is smaller than the sum of its proper divisors (4500709460).

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

3034115200 is a wasteful number, since it uses less digits than its factorization.

3034115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3034115200 is about 55082.8031240241. The cubic root of 3034115200 is about 1447.6959364802.

Adding to 3034115200 its reverse (25114303), we get a palindrome (3059229503).

The spelling of 3034115200 in words is "three billion, thirty-four million, one hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 197 200 320 394 400 640 788 800 985 1576 1600 1970 3152 3200 3940 4813 4925 6304 7880 9626 9850 12608 15760 19252 19700 24065 25216 31520 38504 39400 48130 63040 77008 78800 96260 120325 126080 154016 157600 192520 240650 308032 315200 385040 481300 616064 630400 770080 948161 962600 1540160 1896322 1925200 3080320 3792644 3850400 4740805 7585288 7700800 9481610 15170576 15401600 18963220 23704025 30341152 37926440 47408050 60682304 75852880 94816100 121364608 151705760 189632200 303411520 379264400 606823040 758528800 1517057600 3034115200