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3030313200 = 243524358727
BaseRepresentation
bin1011010010011110…
…1110100011110000
321211012001212020020
42310213232203300
522201230010300
61220410043440
7135044144235
oct26447564360
97735055206
103030313200
111315595182
12706a19580
13393a68c45
1420a65778c
1512b0808a0
hexb49ee8f0

3030313200 has 120 divisors (see below), whose sum is σ = 9933019008. Its totient is φ = 789277440.

The previous prime is 3030313199. The next prime is 3030313217. The reversal of 3030313200 is 23130303.

It is a tau number, because it is divible by the number of its divisors (120).

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 3030313200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22237 + ... + 80963.

Almost surely, 23030313200 is an apocalyptic number.

3030313200 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 3030313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966509504).

3030313200 is an abundant number, since it is smaller than the sum of its proper divisors (6902705808).

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

3030313200 is a wasteful number, since it uses less digits than its factorization.

3030313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58791 (or 58780 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3030313200 is about 55048.2806271004. The cubic root of 3030313200 is about 1447.0909890476.

Adding to 3030313200 its reverse (23130303), we get a palindrome (3053443503).

The spelling of 3030313200 in words is "three billion, thirty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 58727 117454 176181 234908 293635 352362 469816 587270 704724 880905 939632 1174540 1409448 1468175 1761810 2349080 2525261 2818896 2936350 3523620 4404525 4698160 5050522 5872700 7047240 7575783 8809050 10101044 11745400 12626305 14094480 15151566 17618100 20202088 23490800 25252610 30303132 35236200 37878915 40404176 50505220 60606264 63131525 70472400 75757830 101010440 121212528 126263050 151515660 189394575 202020880 252526100 303031320 378789150 505052200 606062640 757578300 1010104400 1515156600 3030313200