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242240544 = 2534713279
BaseRepresentation
bin11100111000001…
…00110000100000
3121212211002120000
432130010300200
5444003144134
640012020000
76001003440
oct1634046040
9555732500
10242240544
111148139a7
1269161600
133b256900
142425a120
15163eee99
hexe704c20

242240544 has 360 divisors, whose sum is σ = 892805760. Its totient is φ = 63078912.

The previous prime is 242240539. The next prime is 242240549. The reversal of 242240544 is 445042242.

242240544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242240539) and next prime (242240549).

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

It is not an unprimeable number, because it can be changed into a prime (242240549) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3066297 + ... + 3066375.

It is an arithmetic number, because the mean of its divisors is an integer number (2480016).

Almost surely, 2242240544 is an apocalyptic number.

242240544 is a gapful number since it is divisible by the number (24) 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 242240544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446402880).

242240544 is an abundant number, since it is smaller than the sum of its proper divisors (650565216).

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

242240544 is a wasteful number, since it uses less digits than its factorization.

242240544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 242240544 is about 15564.0786428237. The cubic root of 242240544 is about 623.3743729513.

Adding to 242240544 its reverse (445042242), we get a palindrome (687282786).

The spelling of 242240544 in words is "two hundred forty-two million, two hundred forty thousand, five hundred forty-four".