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238304241 = 33747139193
BaseRepresentation
bin11100011010000…
…11101111110001
3121121102002222000
432031003233301
5442001213431
635351404213
75622360360
oct1615035761
9547362860
10238304241
1111257555a
1267983669
133a4a9036
14239137d7
1515dc39e6
hexe343bf1

238304241 has 64 divisors (see below), whose sum is σ = 417177600. Its totient is φ = 131632128.

The previous prime is 238304233. The next prime is 238304243. The reversal of 238304241 is 142403832.

238304241 is a `hidden beast` number, since 238 + 3 + 0 + 424 + 1 = 666.

It is not a de Polignac number, because 238304241 - 23 = 238304233 is a prime.

It is a super-2 number, since 2×2383042412 = 113577822557172162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (238304243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234641 + ... + 1234833.

It is an arithmetic number, because the mean of its divisors is an integer number (6518400).

Almost surely, 2238304241 is an apocalyptic number.

238304241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

238304241 is a deficient number, since it is larger than the sum of its proper divisors (178873359).

238304241 is a wasteful number, since it uses less digits than its factorization.

238304241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 238304241 is about 15437.1059787772. The cubic root of 238304241 is about 619.9793966445.

The spelling of 238304241 in words is "two hundred thirty-eight million, three hundred four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 47 63 139 141 189 193 329 417 423 579 973 987 1251 1269 1351 1737 2919 2961 3753 4053 5211 6533 8757 8883 9071 12159 19599 26271 26827 27213 36477 45731 58797 63497 80481 81639 137193 176391 187789 190491 241443 244917 411579 563367 571473 724329 1234737 1260869 1690101 1714419 3782607 5070303 8826083 11347821 26478249 34043463 79434747 238304241