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263368 = 2374703
BaseRepresentation
bin1000000010011001000
3111101021101
41000103020
531411433
65351144
72144560
oct1002310
9441241
10263368
1116a966
121084b4
1392b51
146bda0
155307d
hex404c8

263368 has 16 divisors (see below), whose sum is σ = 564480. Its totient is φ = 112848.

The previous prime is 263323. The next prime is 263369. The reversal of 263368 is 863362.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (263369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2296 + ... + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2263368 is an apocalyptic number.

263368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

263368 is an abundant number, since it is smaller than the sum of its proper divisors (301112).

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

263368 is a wasteful number, since it uses less digits than its factorization.

263368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4712 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 263368 is about 513.1939204628. The cubic root of 263368 is about 64.0994547442.

It can be divided in two parts, 2633 and 68, that added together give a triangular number (2701 = T73).

The spelling of 263368 in words is "two hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 4703 9406 18812 32921 37624 65842 131684 263368