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241466016 = 25311251911
BaseRepresentation
bin11100110010001…
…11101010100000
3121211100202002210
432121013222200
5443303403031
635543242120
75661266361
oct1631075240
9554322083
10241466016
11114334aa0
1268a49340
133b0451cc
14240d7b68
15162ea746
hexe647aa0

241466016 has 96 divisors (see below), whose sum is σ = 694987776. Its totient is φ = 72800000.

The previous prime is 241466009. The next prime is 241466021. The reversal of 241466016 is 610664142.

241466016 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 (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264601 + ... + 265511.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2241466016 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 241466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888).

241466016 is an abundant number, since it is smaller than the sum of its proper divisors (453521760).

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

241466016 is a wasteful number, since it uses less digits than its factorization.

241466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 241466016 is about 15539.1768121738. The cubic root of 241466016 is about 622.7092814174.

The spelling of 241466016 in words is "two hundred forty-one million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 251 264 352 502 528 753 911 1004 1056 1506 1822 2008 2733 2761 3012 3644 4016 5466 5522 6024 7288 8032 8283 10021 10932 11044 12048 14576 16566 20042 21864 22088 24096 29152 30063 33132 40084 43728 44176 60126 66264 80168 87456 88352 120252 132528 160336 228661 240504 265056 320672 457322 481008 685983 914644 962016 1371966 1829288 2515271 2743932 3658576 5030542 5487864 7317152 7545813 10061084 10975728 15091626 20122168 21951456 30183252 40244336 60366504 80488672 120733008 241466016