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268436 = 2279587
BaseRepresentation
bin1000001100010010100
3111122020002
41001202110
532042221
65430432
72165420
oct1014224
9448202
10268436
11173753
1210b418
139524c
146db80
155480b
hex41894

268436 has 12 divisors (see below), whose sum is σ = 536928. Its totient is φ = 115032.

The previous prime is 268403. The next prime is 268439. The reversal of 268436 is 634862.

268436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

268436 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 268399 and 268408.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268436.

It is not an unprimeable number, because it can be changed into a prime (268439) by changing a digit.

268436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4766 + ... + 4821.

It is an arithmetic number, because the mean of its divisors is an integer number (44744).

2268436 is an apocalyptic number.

It is an amenable number.

268436 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

268436 is a wasteful number, since it uses less digits than its factorization.

268436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598 (or 9596 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 268436 is about 518.1080968292. The cubic root of 268436 is about 64.5080013310.

The spelling of 268436 in words is "two hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 9587 19174 38348 67109 134218 268436