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269424 = 24321871
BaseRepresentation
bin1000001110001110000
3111200120200
41001301300
532110144
65435200
72201331
oct1016160
9450520
10269424
11174471
1210bb00
139582c
1470288
1554c69
hex41c70

269424 has 30 divisors (see below), whose sum is σ = 754416. Its totient is φ = 89760.

The previous prime is 269419. The next prime is 269429. The reversal of 269424 is 424962.

269424 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (269419) and next prime (269429).

It is a nude number because it is divisible by every one of its digits.

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 269424.

It is not an unprimeable number, because it can be changed into a prime (269429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 792 + ... + 1079.

2269424 is an apocalyptic number.

269424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

269424 is an abundant number, since it is smaller than the sum of its proper divisors (484992).

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

269424 is a wasteful number, since it uses less digits than its factorization.

269424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1876 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 269424 is about 519.0606900932. The cubic root of 269424 is about 64.5870467052.

The spelling of 269424 in words is "two hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1871 3742 5613 7484 11226 14968 16839 22452 29936 33678 44904 67356 89808 134712 269424