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243289440 = 25335199283
BaseRepresentation
bin11101000000001…
…00110101100000
3121221210101101000
432200010311200
5444240230230
640050312000
76012632442
oct1640046540
9557711330
10243289440
1111536aa59
1269588600
133b533164
1424450492
151655ab60
hexe804d60

243289440 has 192 divisors, whose sum is σ = 858816000. Its totient is φ = 64323072.

The previous prime is 243289429. The next prime is 243289463. The reversal of 243289440 is 44982342.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243289395 and 243289404.

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, 859539 + ... + 859821.

It is an arithmetic number, because the mean of its divisors is an integer number (4473000).

Almost surely, 2243289440 is an apocalyptic number.

243289440 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 243289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429408000).

243289440 is an abundant number, since it is smaller than the sum of its proper divisors (615526560).

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

243289440 is a wasteful number, since it uses less digits than its factorization.

243289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 243289440 is about 15597.7382975866. The cubic root of 243289440 is about 624.2728097057.

The spelling of 243289440 in words is "two hundred forty-three million, two hundred eighty-nine thousand, four hundred forty".