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239245104 = 243731103223
BaseRepresentation
bin11100100001010…
…01011100110000
3121200011220120210
432100221130300
5442221320404
635423504120
75633356410
oct1620513460
9550156523
10239245104
1111305842a
1268158040
133a748367
1423aba640
151600c689
hexe429730

239245104 has 160 divisors (see below), whose sum is σ = 739508224. Its totient is φ = 65214720.

The previous prime is 239245091. The next prime is 239245121. The reversal of 239245104 is 401542932.

239245104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072737 + ... + 1072959.

Almost surely, 2239245104 is an apocalyptic number.

239245104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369754112).

239245104 is an abundant number, since it is smaller than the sum of its proper divisors (500263120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

239245104 is a wasteful number, since it uses less digits than its factorization.

239245104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 239245104 is about 15467.5500322449. The cubic root of 239245104 is about 620.7942509077.

The spelling of 239245104 in words is "two hundred thirty-nine million, two hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 103 112 124 168 186 206 217 223 248 309 336 372 412 434 446 496 618 651 669 721 744 824 868 892 1236 1302 1338 1442 1488 1561 1648 1736 1784 2163 2472 2604 2676 2884 3122 3193 3472 3568 4326 4683 4944 5208 5352 5768 6244 6386 6913 8652 9366 9579 10416 10704 11536 12488 12772 13826 17304 18732 19158 20739 22351 22969 24976 25544 27652 34608 37464 38316 41478 44702 45938 48391 51088 55304 67053 68907 74928 76632 82956 89404 91876 96782 110608 134106 137814 145173 153264 160783 165912 178808 183752 193564 268212 275628 290346 321566 331824 357616 367504 387128 482349 536424 551256 580692 643132 712039 774256 964698 1072848 1102512 1161384 1286264 1424078 1929396 2136117 2322768 2572528 2848156 3858792 4272234 4984273 5696312 7717584 8544468 9968546 11392624 14952819 17088936 19937092 29905638 34177872 39874184 59811276 79748368 119622552 239245104