Search a number
-
+
241842408 = 233173119121
BaseRepresentation
bin11100110101000…
…11100011101000
3121212001212102020
432122203203220
5443402424113
635555304440
75664424623
oct1632434350
9555055366
10241842408
11114571865
1268bab120
133b147622
1424194dba
1516372023
hexe6a38e8

241842408 has 64 divisors (see below), whose sum is σ = 660856320. Its totient is φ = 73420800.

The previous prime is 241842373. The next prime is 241842421. The reversal of 241842408 is 804248142.

241842408 is digitally balanced in base 2, 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 15 ways as a sum of consecutive naturals, for example, 3088 + ... + 22208.

It is an arithmetic number, because the mean of its divisors is an integer number (10325880).

Almost surely, 2241842408 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 241842408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330428160).

241842408 is an abundant number, since it is smaller than the sum of its proper divisors (419013912).

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

241842408 is a wasteful number, since it uses less digits than its factorization.

241842408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19178 (or 19174 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 241842408 is about 15551.2831624918. The cubic root of 241842408 is about 623.0326686963.

The spelling of 241842408 in words is "two hundred forty-one million, eight hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648 19121 38242 57363 76484 114726 152968 229452 325057 458904 592751 650114 975171 1185502 1300228 1778253 1950342 2371004 2600456 3556506 3900684 4742008 7113012 7801368 10076767 14226024 20153534 30230301 40307068 60460602 80614136 120921204 241842408