Search a number
-
+
248340300 = 2235213371721
BaseRepresentation
bin11101100110101…
…01111101001100
3122022021222211220
432303111331030
51002033342200
640350443340
76103600125
oct1663257514
9568258756
10248340300
111181aa81a
126b203550
133c5b1130
1424da704c
1516c074a0
hexecd5f4c

248340300 has 144 divisors (see below), whose sum is σ = 795178272. Its totient is φ = 59443200.

The previous prime is 248340299. The next prime is 248340331. The reversal of 248340300 is 3043842.

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 47 ways as a sum of consecutive naturals, for example, 143440 + ... + 145160.

Almost surely, 2248340300 is an apocalyptic number.

248340300 is a gapful number since it is divisible by the number (20) 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 248340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397589136).

248340300 is an abundant number, since it is smaller than the sum of its proper divisors (546837972).

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

248340300 is a wasteful number, since it uses less digits than its factorization.

248340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 248340300 is about 15758.8165799339. The cubic root of 248340300 is about 628.5633679112.

The spelling of 248340300 in words is "two hundred forty-eight million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1721 1850 1924 1950 2220 2405 2775 2886 3442 3700 3900 4810 5163 5550 5772 6884 7215 8605 9620 10326 11100 12025 14430 17210 20652 22373 24050 25815 28860 34420 36075 43025 44746 48100 51630 63677 67119 72150 86050 89492 103260 111865 127354 129075 134238 144300 172100 191031 223730 254708 258150 268476 318385 335595 382062 447460 516300 559325 636770 671190 764124 827801 955155 1118650 1273540 1342380 1591925 1655602 1677975 1910310 2237300 2483403 3183850 3311204 3355950 3820620 4139005 4775775 4966806 6367700 6711900 8278010 9551550 9933612 12417015 16556020 19103100 20695025 24834030 41390050 49668060 62085075 82780100 124170150 248340300