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3002230320 = 2435371512239
BaseRepresentation
bin1011001011110010…
…0110011000110000
321202020020002202120
42302330212120300
522122032332240
61213524114240
7134253352035
oct26274463060
97666202676
103002230320
111300754091
126b9535980
1338acb575b
14206a2738c
15128884ad0
hexb2f26630

3002230320 has 160 divisors (see below), whose sum is σ = 9626050560. Its totient is φ = 773452800.

The previous prime is 3002230313. The next prime is 3002230349. The reversal of 3002230320 is 230322003.

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 3002230320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339761 + ... + 1341999.

It is an arithmetic number, because the mean of its divisors is an integer number (60162816).

Almost surely, 23002230320 is an apocalyptic number.

3002230320 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 3002230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813025280).

3002230320 is an abundant number, since it is smaller than the sum of its proper divisors (6623820240).

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

3002230320 is a wasteful number, since it uses less digits than its factorization.

3002230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3002230320 is about 54792.6119107312. The cubic root of 3002230320 is about 1442.6068904469.

Adding to 3002230320 its reverse (230322003), we get a palindrome (3232552323).

The spelling of 3002230320 in words is "three billion, two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 151 185 222 240 296 302 370 444 453 555 592 604 740 755 888 906 1110 1208 1480 1510 1776 1812 2220 2239 2265 2416 2960 3020 3624 4440 4478 4530 5587 6040 6717 7248 8880 8956 9060 11174 11195 12080 13434 16761 17912 18120 22348 22390 26868 27935 33522 33585 35824 36240 44696 44780 53736 55870 67044 67170 82843 83805 89392 89560 107472 111740 134088 134340 165686 167610 179120 223480 248529 268176 268680 331372 335220 338089 414215 446960 497058 537360 662744 670440 676178 828430 994116 1014267 1242645 1325488 1340880 1352356 1656860 1690445 1988232 2028534 2485290 2704712 3313720 3380890 3976464 4057068 4970580 5071335 5409424 6627440 6761780 8114136 9941160 10142670 12509293 13523560 16228272 19882320 20285340 25018586 27047120 37527879 40570680 50037172 62546465 75055758 81141360 100074344 125092930 150111516 187639395 200148688 250185860 300223032 375278790 500371720 600446064 750557580 1000743440 1501115160 3002230320