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268367932 = 227194710733
BaseRepresentation
bin11111111111011…
…11100000111100
3200200222111121001
433333233200330
51022200233212
642344020044
76436042540
oct1777574074
9620874531
10268367932
11128539888
1275a61624
13437a3cc1
14278dba20
1518861657
hexffef83c

268367932 has 48 divisors (see below), whose sum is σ = 577059840. Its totient is φ = 106633152.

The previous prime is 268367903. The next prime is 268367947. The reversal of 268367932 is 239763862.

268367932 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

268367932 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19638 + ... + 30370.

It is an arithmetic number, because the mean of its divisors is an integer number (12022080).

Almost surely, 2268367932 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 268367932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288529920).

268367932 is an abundant number, since it is smaller than the sum of its proper divisors (308691908).

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

268367932 is a wasteful number, since it uses less digits than its factorization.

268367932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10810 (or 10808 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 268367932 is about 16381.9392014499. The cubic root of 268367932 is about 645.0254838398.

The spelling of 268367932 in words is "two hundred sixty-eight million, three hundred sixty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 47 76 94 133 188 266 329 532 658 893 1316 1786 3572 6251 10733 12502 21466 25004 42932 75131 150262 203927 300524 407854 504451 815708 1008902 1427489 2017804 2854978 3531157 5709956 7062314 9584569 14124628 19169138 38338276 67091983 134183966 268367932