Search a number
-
+
268359308 = 227231093823
BaseRepresentation
bin11111111111011…
…01011010001100
3200200222001202122
433333231122030
51022144444213
642343512112
76436005440
oct1777553214
9620861678
10268359308
11128533358
1275a58638
13437a00b9
14278d8820
151885dd08
hexffed68c

268359308 has 48 divisors (see below), whose sum is σ = 565340160. Its totient is φ = 108972864.

The previous prime is 268359307. The next prime is 268359319. The reversal of 268359308 is 803953862.

It is not an unprimeable number, because it can be changed into a prime (268359307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68285 + ... + 72107.

It is an arithmetic number, because the mean of its divisors is an integer number (11777920).

Almost surely, 2268359308 is an apocalyptic number.

268359308 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268359308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282670080).

268359308 is an abundant number, since it is smaller than the sum of its proper divisors (296980852).

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

268359308 is a wasteful number, since it uses less digits than its factorization.

268359308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 268359308 is about 16381.6759826338. The cubic root of 268359308 is about 645.0185744706.

The spelling of 268359308 in words is "two hundred sixty-eight million, three hundred fifty-nine thousand, three hundred eight".

Divisors: 1 2 4 7 14 23 28 46 92 109 161 218 322 436 644 763 1526 2507 3052 3823 5014 7646 10028 15292 17549 26761 35098 53522 70196 87929 107044 175858 351716 416707 615503 833414 1231006 1666828 2462012 2916949 5833898 9584261 11667796 19168522 38337044 67089827 134179654 268359308