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242440000 = 2654111929
BaseRepresentation
bin11100111001101…
…01011101000000
3121220012020011021
432130311131000
5444031040000
640020155224
76002464105
oct1634653500
9556166137
10242440000
1111493a840
1269238b14
133b2c662a
14242acaac
151643e11a
hexe735740

242440000 has 280 divisors, whose sum is σ = 714146400. Its totient is φ = 80640000.

The previous prime is 242439991. The next prime is 242440039. The reversal of 242440000 is 44242.

242440000 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 Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8359986 + ... + 8360014.

Almost surely, 2242440000 is an apocalyptic number.

242440000 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 242440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357073200).

242440000 is an abundant number, since it is smaller than the sum of its proper divisors (471706400).

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

242440000 is a wasteful number, since it uses less digits than its factorization.

242440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242440000 is about 15570.4848993215. The cubic root of 242440000 is about 623.5454173290.

Adding to 242440000 its reverse (44242), we get a palindrome (242484242).

It can be divided in two parts, 2424 and 40000, that added together give a palindrome (42424).

The spelling of 242440000 in words is "two hundred forty-two million, four hundred forty thousand".