Search a number
-
+
242440440 = 233511259283
BaseRepresentation
bin11100111001101…
…01100011111000
3121220012020202120
432130311203320
5444031043230
640020201240
76002465304
oct1634654370
9556166676
10242440440
11114940100
1269239220
133b2c68a8
14242acd04
151643e310
hexe7358f8

242440440 has 192 divisors, whose sum is σ = 815875200. Its totient is φ = 57573120.

The previous prime is 242440369. The next prime is 242440459. The reversal of 242440440 is 44044242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242440440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856539 + ... + 856821.

It is an arithmetic number, because the mean of its divisors is an integer number (4249350).

Almost surely, 2242440440 is an apocalyptic number.

242440440 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 242440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407937600).

242440440 is an abundant number, since it is smaller than the sum of its proper divisors (573434760).

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

242440440 is a wasteful number, since it uses less digits than its factorization.

242440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242440440 is about 15570.4990286118. The cubic root of 242440440 is about 623.5457945493.

Adding to 242440440 its reverse (44044242), we get a palindrome (286484682).

The spelling of 242440440 in words is "two hundred forty-two million, four hundred forty thousand, four hundred forty".