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240275328 = 2731813457
BaseRepresentation
bin11100101001001…
…00111110000000
3121202010020210020
432110210332000
5443002302303
635501533440
75645210106
oct1624447600
9552106706
10240275328
111136a1457
1268574280
133aa19267
1423ca7c76
1516162a53
hexe524f80

240275328 has 64 divisors (see below), whose sum is σ = 641943120. Its totient is φ = 79626240.

The previous prime is 240275323. The next prime is 240275359. The reversal of 240275328 is 823572042.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240275323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67776 + ... + 71232.

Almost surely, 2240275328 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 240275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320971560).

240275328 is an abundant number, since it is smaller than the sum of its proper divisors (401667792).

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

240275328 is a wasteful number, since it uses less digits than its factorization.

240275328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 240275328 is about 15500.8170107256. The cubic root of 240275328 is about 621.6840515167.

The spelling of 240275328 in words is "two hundred forty million, two hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 362 384 543 724 1086 1448 2172 2896 3457 4344 5792 6914 8688 10371 11584 13828 17376 20742 23168 27656 34752 41484 55312 69504 82968 110624 165936 221248 331872 442496 625717 663744 1251434 1327488 1877151 2502868 3754302 5005736 7508604 10011472 15017208 20022944 30034416 40045888 60068832 80091776 120137664 240275328