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238829661 = 3371399091
BaseRepresentation
bin11100011110001…
…00000001011101
3121122101210201000
432033010001131
5442120022121
635410540513
75630006250
oct1617040135
9548353630
10238829661
111128a4294
1267b97739
133a631235
1423a0d097
1515e79526
hexe3c405d

238829661 has 32 divisors (see below), whose sum is σ = 407321600. Its totient is φ = 135477360.

The previous prime is 238829653. The next prime is 238829663. The reversal of 238829661 is 166928832.

It is not a de Polignac number, because 238829661 - 23 = 238829653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238829663) 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 31 ways as a sum of consecutive naturals, for example, 21726 + ... + 30816.

It is an arithmetic number, because the mean of its divisors is an integer number (12728800).

Almost surely, 2238829661 is an apocalyptic number.

238829661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

238829661 is a deficient number, since it is larger than the sum of its proper divisors (168491939).

238829661 is a wasteful number, since it uses less digits than its factorization.

238829661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9240 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 238829661 is about 15454.1146947989. The cubic root of 238829661 is about 620.4347116076.

The spelling of 238829661 in words is "two hundred thirty-eight million, eight hundred twenty-nine thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 139 189 417 973 1251 2919 3753 8757 9091 26271 27273 63637 81819 190911 245457 572733 1263649 1718199 3790947 8845543 11372841 26536629 34118523 79609887 238829661