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238934241 = 32721371587
BaseRepresentation
bin11100011110111…
…01100011100001
3121122121010011100
432033131203201
5442131343431
635413105013
75630623200
oct1617354341
9548533140
10238934241
11112965917
1268028169
133a669a10
1423a39237
1515e9a4e6
hexe3dd8e1

238934241 has 72 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 124044480.

The previous prime is 238934233. The next prime is 238934251. The reversal of 238934241 is 142439832.

238934241 is a `hidden beast` number, since 2 + 389 + 34 + 241 = 666.

It is not a de Polignac number, because 238934241 - 23 = 238934233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238934196 and 238934205.

It is not an unprimeable number, because it can be changed into a prime (238934221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 406750 + ... + 407336.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2238934241 is an apocalyptic number.

238934241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

238934241 is a deficient number, since it is larger than the sum of its proper divisors (200259423).

238934241 is a wasteful number, since it uses less digits than its factorization.

238934241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 238934241 is about 15457.4978893739. The cubic root of 238934241 is about 620.5252581411.

The spelling of 238934241 in words is "two hundred thirty-eight million, nine hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 71 91 117 147 213 273 441 497 587 637 639 819 923 1491 1761 1911 2769 3479 4109 4473 5283 5733 6461 7631 8307 10437 12327 19383 22893 28763 31311 36981 41677 45227 53417 58149 68679 86289 125031 135681 160251 258867 291739 373919 375093 407043 480753 541801 875217 1121757 1625403 2042173 2625651 3365271 3792607 4876209 6126519 11377821 18379557 26548249 34133463 79644747 238934241