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302300040 = 233572315647
BaseRepresentation
bin10010000001001…
…011101110001000
3210001211102200210
4102001023232020
51104342100130
645555201120
710330336140
oct2201135610
9701742623
10302300040
11145705549
12852a61a0
134a824983
142c211920
151b8155b0
hex1204bb88

302300040 has 128 divisors (see below), whose sum is σ = 1081589760. Its totient is φ = 66088704.

The previous prime is 302300039. The next prime is 302300059. The reversal of 302300040 is 40003203.

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

It is a junction number, because it is equal to n+sod(n) for n = 302299989 and 302300025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11497 + ... + 27143.

It is an arithmetic number, because the mean of its divisors is an integer number (8449920).

Almost surely, 2302300040 is an apocalyptic number.

302300040 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 302300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540794880).

302300040 is an abundant number, since it is smaller than the sum of its proper divisors (779289720).

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

302300040 is a wasteful number, since it uses less digits than its factorization.

302300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15687 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 302300040 is about 17386.7777348191. Note that the first 4 decimals coincide. The cubic root of 302300040 is about 671.1393993293.

Adding to 302300040 its reverse (40003203), we get a palindrome (342303243).

The spelling of 302300040 in words is "three hundred two million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 15647 19320 31294 46941 62588 78235 93882 109529 125176 156470 187764 219058 234705 312940 328587 359881 375528 438116 469410 547645 625880 657174 719762 876232 938820 1079643 1095290 1314348 1439524 1642935 1799405 1877640 2159286 2190580 2519167 2628696 2879048 3285870 3598810 4318572 4381160 5038334 5398215 6571740 7197620 7557501 8637144 10076668 10796430 12595835 13143480 14395240 15115002 20153336 21592860 25191670 30230004 37787505 43185720 50383340 60460008 75575010 100766680 151150020 302300040