Search a number
-
+
68244390 = 23351953251
BaseRepresentation
bin1000001000101…
…01001110100110
311202102011201000
410010111032212
5114432310030
610434414130
71456032144
oct404251646
9152364630
1068244390
1135582025
121aa31346
13111a56c6
1490c6594
155ed0860
hex41153a6

68244390 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 16848000.

The previous prime is 68244389. The next prime is 68244437. The reversal of 68244390 is 9344286.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 271765 + ... + 272015.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 268244390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68244390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

68244390 is an abundant number, since it is smaller than the sum of its proper divisors (127710810).

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

68244390 is a wasteful number, since it uses less digits than its factorization.

68244390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68244390 is about 8261.0162813058. The cubic root of 68244390 is about 408.6539038470.

The spelling of 68244390 in words is "sixty-eight million, two hundred forty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 53 54 57 90 95 106 114 135 159 171 190 251 265 270 285 318 342 477 502 513 530 570 753 795 855 954 1007 1026 1255 1431 1506 1590 1710 2014 2259 2385 2510 2565 2862 3021 3765 4518 4769 4770 5035 5130 6042 6777 7155 7530 9063 9538 10070 11295 13303 13554 14307 14310 15105 18126 22590 23845 26606 27189 28614 30210 33885 39909 42921 45315 47690 54378 66515 67770 71535 79818 85842 90630 119727 128763 133030 135945 143070 199545 214605 239454 252757 257526 271890 359181 399090 429210 505514 598635 643815 718362 758271 1197270 1263785 1287630 1516542 1795905 2274813 2527570 3591810 3791355 4549626 6824439 7582710 11374065 13648878 22748130 34122195 68244390