Search a number
-
+
268304010 = 235131275417
BaseRepresentation
bin11111111110111…
…11111010001010
3200200212020220120
433333133322022
51022141212020
642342404110
76435355302
oct1777377212
9620766816
10268304010
111284a5857
1275a30636
1343780b90
14278c2602
151884c740
hexffdfe8a

268304010 has 64 divisors (see below), whose sum is σ = 699052032. Its totient is φ = 65511936.

The previous prime is 268304009. The next prime is 268304017. The reversal of 268304010 is 10403862.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268304017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46822 + ... + 52238.

It is an arithmetic number, because the mean of its divisors is an integer number (10922688).

Almost surely, 2268304010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268304010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349526016).

268304010 is an abundant number, since it is smaller than the sum of its proper divisors (430748022).

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

268304010 is a wasteful number, since it uses less digits than its factorization.

268304010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 268304010 is about 16379.9880952338. The cubic root of 268304010 is about 644.9742673467.

Adding to 268304010 its reverse (10403862), we get a palindrome (278707872).

The spelling of 268304010 in words is "two hundred sixty-eight million, three hundred four thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 195 254 381 390 635 762 1270 1651 1905 3302 3810 4953 5417 8255 9906 10834 16251 16510 24765 27085 32502 49530 54170 70421 81255 140842 162510 211263 352105 422526 687959 704210 1056315 1375918 2063877 2112630 3439795 4127754 6879590 8943467 10319385 17886934 20638770 26830401 44717335 53660802 89434670 134152005 268304010