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238976241 = 3731438537
BaseRepresentation
bin11100011111001…
…11110011110001
3121122200020202220
432033213303301
5442134214431
635414031253
75631156510
oct1617476361
9548606686
10238976241
11112994429
1268048529
133a682b7a
1423a4a677
1515ea7b96
hexe3e7cf1

238976241 has 32 divisors (see below), whose sum is σ = 384688128. Its totient is φ = 129064320.

The previous prime is 238976239. The next prime is 238976299. The reversal of 238976241 is 142679832.

It is not a de Polignac number, because 238976241 - 21 = 238976239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238976193 and 238976202.

It is not an unprimeable number, because it can be changed into a prime (238975241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23725 + ... + 32261.

It is an arithmetic number, because the mean of its divisors is an integer number (12021504).

Almost surely, 2238976241 is an apocalyptic number.

238976241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

238976241 is a deficient number, since it is larger than the sum of its proper divisors (145711887).

238976241 is a wasteful number, since it uses less digits than its factorization.

238976241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621.

The product of its digits is 145152, while the sum is 42.

The square root of 238976241 is about 15458.8563936664. The cubic root of 238976241 is about 620.5616147746.

The spelling of 238976241 in words is "two hundred thirty-eight million, nine hundred seventy-six thousand, two hundred forty-one".

Divisors: 1 3 7 21 31 43 93 129 217 301 651 903 1333 3999 8537 9331 25611 27993 59759 179277 264647 367091 793941 1101273 1852529 2569637 5557587 7708911 11379821 34139463 79658747 238976241