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235368 = 23327467
BaseRepresentation
bin111001011101101000
3102221212100
4321131220
530012433
65013400
72000130
oct713550
9387770
10235368
11150921
12b4260
1383193
1461ac0
1549b13
hex39768

235368 has 48 divisors (see below), whose sum is σ = 730080. Its totient is φ = 67104.

The previous prime is 235349. The next prime is 235369. The reversal of 235368 is 863532.

It is not an unprimeable number, because it can be changed into a prime (235369) by changing a digit.

235368 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 11 ways as a sum of consecutive naturals, for example, 271 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (15210).

2235368 is an apocalyptic number.

235368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365040).

235368 is an abundant number, since it is smaller than the sum of its proper divisors (494712).

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

235368 is a wasteful number, since it uses less digits than its factorization.

235368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 235368 is about 485.1474002816. The cubic root of 235368 is about 61.7422529032.

The spelling of 235368 in words is "two hundred thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 467 504 934 1401 1868 2802 3269 3736 4203 5604 6538 8406 9807 11208 13076 16812 19614 26152 29421 33624 39228 58842 78456 117684 235368