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241541064 = 23323354737
BaseRepresentation
bin11100110010110…
…01111111001000
3121211111120001100
432121121333020
5443313303224
635545021400
75662031232
oct1631317710
9554446040
10241541064
11114386416
1268a84860
133b07040b
1424117252
1516312ac9
hexe659fc8

241541064 has 24 divisors (see below), whose sum is σ = 654173910. Its totient is φ = 80513664.

The previous prime is 241541059. The next prime is 241541071. The reversal of 241541064 is 460145142.

241541064 is a `hidden beast` number, since 241 + 5 + 410 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165328164 + 76212900 = 12858^2 + 8730^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1677297 + ... + 1677440.

Almost surely, 2241541064 is an apocalyptic number.

241541064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241541064 is an abundant number, since it is smaller than the sum of its proper divisors (412632846).

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

241541064 is a wasteful number, since it uses less digits than its factorization.

241541064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354749 (or 3354742 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 241541064 is about 15541.5914243040. The cubic root of 241541064 is about 622.7737877279.

The spelling of 241541064 in words is "two hundred forty-one million, five hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3354737 6709474 10064211 13418948 20128422 26837896 30192633 40256844 60385266 80513688 120770532 241541064