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241816128 = 26347127211
BaseRepresentation
bin11100110100111…
…01001001000000
3121212000112100220
432122131021000
5443401104003
635554543040
75664255201
oct1632351100
9555015326
10241816128
11114554044
1268b97a80
133b138688
14241895a8
1516369353
hexe69d240

241816128 has 112 divisors (see below), whose sum is σ = 661684224. Its totient is φ = 77898240.

The previous prime is 241816093. The next prime is 241816153. The reversal of 241816128 is 821618142.

241816128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145943 + ... + 1146153.

Almost surely, 2241816128 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 241816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330842112).

241816128 is an abundant number, since it is smaller than the sum of its proper divisors (419868096).

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

241816128 is a wasteful number, since it uses less digits than its factorization.

241816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 241816128 is about 15550.4381931829. The cubic root of 241816128 is about 623.0101004299.

The spelling of 241816128 in words is "two hundred forty-one million, eight hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 127 141 188 192 211 254 282 376 381 422 508 564 633 752 762 844 1016 1128 1266 1504 1524 1688 2032 2256 2532 3008 3048 3376 4064 4512 5064 5969 6096 6752 8128 9024 9917 10128 11938 12192 13504 17907 19834 20256 23876 24384 26797 29751 35814 39668 40512 47752 53594 59502 71628 79336 80391 95504 107188 119004 143256 158672 160782 191008 214376 238008 286512 317344 321564 382016 428752 476016 573024 634688 643128 857504 952032 1146048 1259459 1286256 1715008 1904064 2518918 2572512 3778377 5037836 5145024 7556754 10075672 15113508 20151344 30227016 40302688 60454032 80605376 120908064 241816128