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241840128 = 212319681
BaseRepresentation
bin11100110101000…
…11000000000000
3121212001202021210
432122203000000
5443402341003
635555250120
75664415155
oct1632430000
9555052253
10241840128
11114570082
1268ba9940
133b14658a
142419422c
1516371503
hexe6a3000

241840128 has 52 divisors (see below), whose sum is σ = 644861048. Its totient is φ = 80609280.

The previous prime is 241840117. The next prime is 241840141. The reversal of 241840128 is 821048142.

It is a super-2 number, since 2×2418401282 = 116973295022112768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 241840095 and 241840104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2448 + ... + 22128.

It is an arithmetic number, because the mean of its divisors is an integer number (12401174).

Almost surely, 2241840128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322430524).

241840128 is an abundant number, since it is smaller than the sum of its proper divisors (403020920).

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

241840128 is an equidigital number, since it uses as much as digits as its factorization.

241840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19708 (or 19686 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 241840128 is about 15551.2098564710. The cubic root of 241840128 is about 623.0307107836.

The spelling of 241840128 in words is "two hundred forty-one million, eight hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 19681 39362 59043 78724 118086 157448 236172 314896 472344 629792 944688 1259584 1889376 2519168 3778752 5038336 7557504 10076672 15115008 20153344 30230016 40306688 60460032 80613376 120920064 241840128