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241285440 = 26351173313
BaseRepresentation
bin11100110000110…
…11100101000000
3121211000120101210
432120123211000
5443232113230
635535330120
75656615044
oct1630334500
9554016353
10241285440
11114221360
1268980940
133acb0c66
142408c024
15162b1eb0
hexe61b940

241285440 has 224 divisors, whose sum is σ = 849879936. Its totient is φ = 57507840.

The previous prime is 241285417. The next prime is 241285469. The reversal of 241285440 is 44582142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241285398 and 241285407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770724 + ... + 771036.

Almost surely, 2241285440 is an apocalyptic number.

241285440 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 241285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424939968).

241285440 is an abundant number, since it is smaller than the sum of its proper divisors (608594496).

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

241285440 is a wasteful number, since it uses less digits than its factorization.

241285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 241285440 is about 15533.3653790800. The cubic root of 241285440 is about 622.5540154093.

The spelling of 241285440 in words is "two hundred forty-one million, two hundred eighty-five thousand, four hundred forty".