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233928 = 2334192
BaseRepresentation
bin111001000111001000
3102212220000
4321013020
524441203
65003000
71663002
oct710710
9385800
10233928
1114a832
12b3460
1382626
1461372
15494a3
hex391c8

233928 has 60 divisors (see below), whose sum is σ = 691515. Its totient is φ = 73872.

The previous prime is 233923. The next prime is 233939. The reversal of 233928 is 829332.

Multipling 233928 by its product of digits (2592), we get a square (606341376 = 246242).

It can be divided in two parts, 2 and 33928, that added together give a triangular number (33930 = T260).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 116964 = 342^2 + 342^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=342.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (2592) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (233921) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12303 + ... + 12321.

233928 is a Friedman number, since it can be written as 9*(38*3)^2*2, using all its digits and the basic arithmetic operations.

2233928 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 233928

233928 is an abundant number, since it is smaller than the sum of its proper divisors (457587).

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

233928 is a wasteful number, since it uses less digits than its factorization.

233928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 24 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 233928 is about 483.6610383316. The cubic root of 233928 is about 61.6160805828.

The spelling of 233928 in words is "two hundred thirty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 361 456 513 648 684 722 1026 1083 1368 1444 1539 2052 2166 2888 3078 3249 4104 4332 6156 6498 8664 9747 12312 12996 19494 25992 29241 38988 58482 77976 116964 233928