Search a number
-
+
300293940 = 223543239487
BaseRepresentation
bin10001111001100…
…001111100110100
3202221001111211210
4101321201330310
51103333401230
645444201420
710304312352
oct2171417464
9687044753
10300293940
11144565311
1284699270
134a2a182b
142bc4c7d2
151b56aeb0
hex11e61f34

300293940 has 96 divisors (see below), whose sum is σ = 865751040. Its totient is φ = 77728896.

The previous prime is 300293867. The next prime is 300293941. The reversal of 300293940 is 49392003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 300293898 and 300293907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300293941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616377 + ... + 616863.

It is an arithmetic number, because the mean of its divisors is an integer number (9018240).

Almost surely, 2300293940 is an apocalyptic number.

300293940 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 300293940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432875520).

300293940 is an abundant number, since it is smaller than the sum of its proper divisors (565457100).

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

300293940 is a wasteful number, since it uses less digits than its factorization.

300293940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 300293940 is about 17328.9913151343. The cubic root of 300293940 is about 669.6515155157.

The spelling of 300293940 in words is "three hundred million, two hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 239 258 430 478 487 516 645 717 860 956 974 1195 1290 1434 1461 1948 2390 2435 2580 2868 2922 3585 4780 4870 5844 7170 7305 9740 10277 14340 14610 20554 20941 29220 30831 41108 41882 51385 61662 62823 83764 102770 104705 116393 123324 125646 154155 205540 209410 232786 251292 308310 314115 349179 418820 465572 581965 616620 628230 698358 1163930 1256460 1396716 1745895 2327860 3491790 5004899 6983580 10009798 15014697 20019596 25024495 30029394 50048990 60058788 75073485 100097980 150146970 300293940