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238465 = 5371289
BaseRepresentation
bin111010001110000001
3110010010001
4322032001
530112330
65040001
72012143
oct721601
9403101
10238465
11153187
12b6001
1384706
1462c93
154a9ca
hex3a381

238465 has 8 divisors (see below), whose sum is σ = 294120. Its totient is φ = 185472.

The previous prime is 238463. The next prime is 238471. The reversal of 238465 is 564832.

It can be written as a sum of positive squares in 4 ways, for example, as 103041 + 135424 = 321^2 + 368^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 238465 - 21 = 238463 is a prime.

238465 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (36765).

2238465 is an apocalyptic number.

It is an amenable number.

238465 is a deficient number, since it is larger than the sum of its proper divisors (55655).

238465 is a wasteful number, since it uses less digits than its factorization.

238465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331.

The product of its digits is 5760, while the sum is 28.

The square root of 238465 is about 488.3287826864. The cubic root of 238465 is about 62.0118777105.

It can be divided in two parts, 238 and 465, that added together give a triangular number (703 = T37).

The spelling of 238465 in words is "two hundred thirty-eight thousand, four hundred sixty-five".

Divisors: 1 5 37 185 1289 6445 47693 238465