Search a number
-
+
68284944 = 2435713193
BaseRepresentation
bin1000001000111…
…11001000010000
311202111020100000
410010133020100
5114440104234
610435330000
71456261320
oct404371020
9152436300
1068284944
11355aa542
121aa50900
13111bacc0
1490d7280
155edc899
hex411f210

68284944 has 240 divisors, whose sum is σ = 245178752. Its totient is φ = 17915904.

The previous prime is 68284933. The next prime is 68284949. The reversal of 68284944 is 44948286.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68284944.

It is not an unprimeable number, because it can be changed into a prime (68284949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353712 + ... + 353904.

Almost surely, 268284944 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 68284944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122589376).

68284944 is an abundant number, since it is smaller than the sum of its proper divisors (176893808).

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

68284944 is a wasteful number, since it uses less digits than its factorization.

68284944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

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

The square root of 68284944 is about 8263.4704573805. The cubic root of 68284944 is about 408.7348348889.

The spelling of 68284944 in words is "sixty-eight million, two hundred eighty-four thousand, nine hundred forty-four".