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268681340 = 22531433357
BaseRepresentation
bin10000000000111…
…100000001111100
3200201120102111202
4100000330001330
51022240300330
642354435032
76441516344
oct2000740174
9621512452
10268681340
111287332a4
1275b92a78
1343883855
142797dd24
15188c4445
hex1003c07c

268681340 has 24 divisors (see below), whose sum is σ = 582433152. Its totient is φ = 104005440.

The previous prime is 268681333. The next prime is 268681363. The reversal of 268681340 is 43186862.

It is a happy number.

268681340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268681294 and 268681303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216059 + ... + 217298.

It is an arithmetic number, because the mean of its divisors is an integer number (24268048).

Almost surely, 2268681340 is an apocalyptic number.

268681340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268681340 is an abundant number, since it is smaller than the sum of its proper divisors (313751812).

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

268681340 is a wasteful number, since it uses less digits than its factorization.

268681340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433397 (or 433395 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 268681340 is about 16391.5020666198. The cubic root of 268681340 is about 645.2764794309.

The spelling of 268681340 in words is "two hundred sixty-eight million, six hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 433357 866714 1733428 2166785 4333570 8667140 13434067 26868134 53736268 67170335 134340670 268681340