Search a number
-
+
68346320 = 2457312127
BaseRepresentation
bin1000001001011…
…10000111010000
311202121100112012
410010232013100
5114444040240
610440522052
71456635260
oct404560720
9152540465
1068346320
1135641669
121aa80328
131120cc13
1491117a0
156000b65
hex412e1d0

68346320 has 120 divisors (see below), whose sum is σ = 189130752. Its totient is φ = 22498560.

The previous prime is 68346281. The next prime is 68346347. The reversal of 68346320 is 2364386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538097 + ... + 538223.

Almost surely, 268346320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94565376).

68346320 is an abundant number, since it is smaller than the sum of its proper divisors (120784432).

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

68346320 is a wasteful number, since it uses less digits than its factorization.

68346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 68346320 is about 8267.1833171885. The cubic root of 68346320 is about 408.8572581514.

The spelling of 68346320 in words is "sixty-eight million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 127 140 155 217 248 254 280 310 434 496 508 560 620 635 868 889 961 1016 1085 1240 1270 1736 1778 1922 2032 2170 2480 2540 3472 3556 3844 3937 4340 4445 4805 5080 6727 7112 7688 7874 8680 8890 9610 10160 13454 14224 15376 15748 17360 17780 19220 19685 26908 27559 31496 33635 35560 38440 39370 53816 55118 62992 67270 71120 76880 78740 107632 110236 122047 134540 137795 157480 220472 244094 269080 275590 314960 440944 488188 538160 551180 610235 854329 976376 1102360 1220470 1708658 1952752 2204720 2440940 3417316 4271645 4881880 6834632 8543290 9763760 13669264 17086580 34173160 68346320