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238630405 = 513192331271
BaseRepresentation
bin11100011100100…
…11011000000101
3121122000200101011
432032103120011
5442042133110
635402402221
75625216316
oct1616233005
9548020334
10238630405
11112778612
1267b00371
133a591630
142399a60d
1515e3a48a
hexe393605

238630405 has 64 divisors (see below), whose sum is σ = 350945280. Its totient is φ = 153964800.

The previous prime is 238630393. The next prime is 238630409. The reversal of 238630405 is 504036832.

It is not a de Polignac number, because 238630405 - 219 = 238106117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238630409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880420 + ... + 880690.

It is an arithmetic number, because the mean of its divisors is an integer number (5483520).

Almost surely, 2238630405 is an apocalyptic number.

It is an amenable number.

238630405 is a deficient number, since it is larger than the sum of its proper divisors (112314875).

238630405 is a wasteful number, since it uses less digits than its factorization.

238630405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362.

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 238630405 is about 15447.6666522812. Note that the first 4 decimals coincide. The cubic root of 238630405 is about 620.2621203493.

The spelling of 238630405 in words is "two hundred thirty-eight million, six hundred thirty thousand, four hundred five".

Divisors: 1 5 13 19 23 31 65 95 115 155 247 271 299 403 437 589 713 1235 1355 1495 2015 2185 2945 3523 3565 5149 5681 6233 7657 8401 9269 13547 17615 25745 28405 31165 38285 42005 46345 66937 67735 81029 109213 118427 159619 176111 193223 334685 405145 546065 592135 798095 880555 966115 1539551 2075047 2511899 3671237 7697755 10375235 12559495 18356185 47726081 238630405