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241304040 = 2332523151193
BaseRepresentation
bin11100110001000…
…00000111101000
3121211001111220200
432120200013220
5443233212130
635535552200
75660023215
oct1630400750
9554044820
10241304040
1111423432a
126898b660
133acb9573
1424094b0c
15162b7760
hexe6201e8

241304040 has 192 divisors, whose sum is σ = 828023040. Its totient is φ = 60825600.

The previous prime is 241304027. The next prime is 241304081. The reversal of 241304040 is 40403142.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1250184 + ... + 1250376.

It is an arithmetic number, because the mean of its divisors is an integer number (4312620).

Almost surely, 2241304040 is an apocalyptic number.

241304040 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 241304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414011520).

241304040 is an abundant number, since it is smaller than the sum of its proper divisors (586719000).

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

241304040 is a wasteful number, since it uses less digits than its factorization.

241304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241304040 is about 15533.9640787534. The cubic root of 241304040 is about 622.5700119639.

Adding to 241304040 its reverse (40403142), we get a palindrome (281707182).

The spelling of 241304040 in words is "two hundred forty-one million, three hundred four thousand, forty".