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235404 = 223213503
BaseRepresentation
bin111001011110001100
3102221220200
4321132030
530013104
65013500
72000211
oct713614
9387820
10235404
11150954
12b4290
13831c0
1461b08
1549b39
hex3978c

235404 has 36 divisors (see below), whose sum is σ = 642096. Its totient is φ = 72288.

The previous prime is 235397. The next prime is 235439. The reversal of 235404 is 404532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2235404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

235404 is an abundant number, since it is smaller than the sum of its proper divisors (406692).

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

235404 is a wasteful number, since it uses less digits than its factorization.

235404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 235404 is about 485.1845009891. The cubic root of 235404 is about 61.7454006092.

Adding to 235404 its reverse (404532), we get a palindrome (639936).

The spelling of 235404 in words is "two hundred thirty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 503 1006 1509 2012 3018 4527 6036 6539 9054 13078 18108 19617 26156 39234 58851 78468 117702 235404