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241093440 = 26325711959
BaseRepresentation
bin11100101111011…
…00101101000000
3121210122211000200
432113230231000
5443204442230
635531245200
75655155220
oct1627545500
9553584020
10241093440
11114100085
12688a9800
133ac44753
142403c080
1516275160
hexe5ecb40

241093440 has 168 divisors, whose sum is σ = 947806080. Its totient is φ = 55102464.

The previous prime is 241093423. The next prime is 241093441. The reversal of 241093440 is 44390142.

241093440 is digitally balanced in base 2 and base 3, because in such bases 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 (168).

It is a super-2 number, since 2×2410934402 = 116252093622067200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241093441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14181 + ... + 26139.

Almost surely, 2241093440 is an apocalyptic number.

241093440 is a gapful number since it is divisible by the number (20) 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 241093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473903040).

241093440 is an abundant number, since it is smaller than the sum of its proper divisors (706712640).

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

241093440 is a wasteful number, since it uses less digits than its factorization.

241093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 241093440 is about 15527.1839043659. The cubic root of 241093440 is about 622.3888416219.

The spelling of 241093440 in words is "two hundred forty-one million, ninety-three thousand, four hundred forty".