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240869376 = 21335112
BaseRepresentation
bin11100101101101…
…10000000000000
3121210020102200000
432112312000000
5443130310001
635522400000
75653233036
oct1626660000
9553212600
10240869376
11113a67800
1268800000
133ab96777
1423dc0556
151622da86
hexe5b6000

240869376 has 252 divisors, whose sum is σ = 793133796. Its totient is φ = 72990720.

The previous prime is 240869357. The next prime is 240869393. The reversal of 240869376 is 673968042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21897211 + ... + 21897221.

Almost surely, 2240869376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396566898).

240869376 is an abundant number, since it is smaller than the sum of its proper divisors (552264420).

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

240869376 is an frugal number, since it uses more digits than its factorization.

240869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 240869376 is about 15519.9670102742. The cubic root of 240869376 is about 622.1959728911.

The spelling of 240869376 in words is "two hundred forty million, eight hundred sixty-nine thousand, three hundred seventy-six".