Search a number
-
+
68248368 = 24322959277
BaseRepresentation
bin1000001000101…
…10001100110000
311202102101011100
410010112030300
5114432421433
610434444400
71456046556
oct404261460
9152371140
1068248368
1135585011
121aa33700
13111a7466
1490c7bd6
155ed1b13
hex4116330

68248368 has 120 divisors (see below), whose sum is σ = 201661200. Its totient is φ = 21514752.

The previous prime is 68248363. The next prime is 68248373. The reversal of 68248368 is 86384286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68248363) and next prime (68248373).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68248363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246246 + ... + 246522.

It is an arithmetic number, because the mean of its divisors is an integer number (1680510).

Almost surely, 268248368 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 68248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100830600).

68248368 is an abundant number, since it is smaller than the sum of its proper divisors (133412832).

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

68248368 is a wasteful number, since it uses less digits than its factorization.

68248368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 68248368 is about 8261.2570472053. The cubic root of 68248368 is about 408.6618439069.

The spelling of 68248368 in words is "sixty-eight million, two hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 59 72 87 116 118 144 174 177 232 236 261 277 348 354 464 472 522 531 554 696 708 831 944 1044 1062 1108 1392 1416 1662 1711 2088 2124 2216 2493 2832 3324 3422 4176 4248 4432 4986 5133 6648 6844 8033 8496 9972 10266 13296 13688 15399 16066 16343 19944 20532 24099 27376 30798 32132 32686 39888 41064 48198 49029 61596 64264 65372 72297 82128 96396 98058 123192 128528 130744 144594 147087 192792 196116 246384 261488 289188 294174 385584 392232 473947 578376 588348 784464 947894 1156752 1176696 1421841 1895788 2353392 2843682 3791576 4265523 5687364 7583152 8531046 11374728 17062092 22749456 34124184 68248368