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241082016 = 2537358753
BaseRepresentation
bin11100101111010…
…01111010100000
3121210122020100120
432113221322200
5443204111031
635531120240
75655110010
oct1627517240
9553566316
10241082016
111140a253a
12688a3080
133ac3c4a6
1424037c40
1516271a96
hexe5e9ea0

241082016 has 48 divisors (see below), whose sum is σ = 723248064. Its totient is φ = 68880384.

The previous prime is 241082011. The next prime is 241082029. The reversal of 241082016 is 610280142.

241082016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2410820163 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (241082011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178705 + ... + 180048.

It is an arithmetic number, because the mean of its divisors is an integer number (15067668).

Almost surely, 2241082016 is an apocalyptic number.

It is an amenable number.

241082016 is an abundant number, since it is smaller than the sum of its proper divisors (482166048).

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

241082016 is a wasteful number, since it uses less digits than its factorization.

241082016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358773 (or 358765 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 241082016 is about 15526.8160290512. The cubic root of 241082016 is about 622.3790110178.

The spelling of 241082016 in words is "two hundred forty-one million, eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 358753 717506 1076259 1435012 2152518 2511271 2870024 4305036 5022542 5740048 7533813 8610072 10045084 11480096 15067626 17220144 20090168 30135252 34440288 40180336 60270504 80360672 120541008 241082016