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240421440 = 26357219269
BaseRepresentation
bin11100101010010…
…00101001000000
3121202101200012210
432111020221000
5443021441230
635505022120
75646356100
oct1625105100
9552350183
10240421440
11113791206
1268624940
133aa6a90c
1423d05200
1516190eb0
hexe548a40

240421440 has 336 divisors, whose sum is σ = 938174400. Its totient is φ = 51867648.

The previous prime is 240421427. The next prime is 240421477. The reversal of 240421440 is 44124042.

240421440 is digitally balanced in base 3, because in such base 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 893626 + ... + 893894.

Almost surely, 2240421440 is an apocalyptic number.

240421440 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 240421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469087200).

240421440 is an abundant number, since it is smaller than the sum of its proper divisors (697752960).

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

240421440 is a wasteful number, since it uses less digits than its factorization.

240421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 240421440 is about 15505.5293363368. The cubic root of 240421440 is about 621.8100418333.

Adding to 240421440 its reverse (44124042), we get a palindrome (284545482).

The spelling of 240421440 in words is "two hundred forty million, four hundred twenty-one thousand, four hundred forty".