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241230528 = 2633731137
BaseRepresentation
bin11100110000011…
…10001011000000
3121210220210002000
432120032023000
5443223334103
635534224000
75656266000
oct1630161300
9553823060
10241230528
11114194080
1268955000
133ac91c76
1424076000
15162a0aa3
hexe60e2c0

241230528 has 448 divisors, whose sum is σ = 926592000. Its totient is φ = 60963840.

The previous prime is 241230487. The next prime is 241230533. The reversal of 241230528 is 825032142.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6519726 + ... + 6519762.

Almost surely, 2241230528 is an apocalyptic number.

241230528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296000).

241230528 is an abundant number, since it is smaller than the sum of its proper divisors (685361472).

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

241230528 is a wasteful number, since it uses less digits than its factorization.

241230528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

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

The square root of 241230528 is about 15531.5977285017. The cubic root of 241230528 is about 622.5067846553.

The spelling of 241230528 in words is "two hundred forty-one million, two hundred thirty thousand, five hundred twenty-eight".