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300213300 = 2235219311699
BaseRepresentation
bin10001111001001…
…110010000110100
3202220220102020010
4101321032100310
51103323311200
645442340220
710303525302
oct2171162064
9686812203
10300213300
1114450a772
128465a670
134a273c0a
142bc2b272
151b552150
hex11e4e434

300213300 has 144 divisors (see below), whose sum is σ = 944384000. Its totient is φ = 73353600.

The previous prime is 300213293. The next prime is 300213317. The reversal of 300213300 is 3312003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175851 + ... + 177549.

Almost surely, 2300213300 is an apocalyptic number.

300213300 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 300213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472192000).

300213300 is an abundant number, since it is smaller than the sum of its proper divisors (644170700).

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

300213300 is a wasteful number, since it uses less digits than its factorization.

300213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 300213300 is about 17326.6644222135. The cubic root of 300213300 is about 669.5915681048.

Adding to 300213300 its reverse (3312003), we get a palindrome (303525303).

The spelling of 300213300 in words is "three hundred million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 31 38 50 57 60 62 75 76 93 95 100 114 124 150 155 186 190 228 285 300 310 372 380 465 475 570 589 620 775 930 950 1140 1178 1425 1550 1699 1767 1860 1900 2325 2356 2850 2945 3100 3398 3534 4650 5097 5700 5890 6796 7068 8495 8835 9300 10194 11780 14725 16990 17670 20388 25485 29450 32281 33980 35340 42475 44175 50970 52669 58900 64562 84950 88350 96843 101940 105338 127425 129124 158007 161405 169900 176700 193686 210676 254850 263345 316014 322810 387372 484215 509700 526690 632028 645620 790035 807025 968430 1000711 1053380 1316725 1580070 1614050 1936860 2001422 2421075 2633450 3002133 3160140 3228100 3950175 4002844 4842150 5003555 5266900 6004266 7900350 9684300 10007110 12008532 15010665 15800700 20014220 25017775 30021330 50035550 60042660 75053325 100071100 150106650 300213300