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240937216 = 281325569
BaseRepresentation
bin11100101110001…
…10100100000000
3121210100212201121
432113012210000
5443134442331
635524042024
75653634602
oct1627064400
9553325647
10240937216
11114003773
1268833314
133abbb600
1423ddb172
1516243c11
hexe5c6900

240937216 has 54 divisors (see below), whose sum is σ = 520867410. Its totient is φ = 111181824.

The previous prime is 240937211. The next prime is 240937231. The reversal of 240937216 is 612739042.

It can be written as a sum of positive squares in 3 ways, for example, as 6969600 + 233967616 = 2640^2 + 15296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240937211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40480 + ... + 46048.

Almost surely, 2240937216 is an apocalyptic number.

240937216 is a gapful number since it is divisible by the number (26) 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 240937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260433705).

240937216 is an abundant number, since it is smaller than the sum of its proper divisors (279930194).

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

240937216 is an equidigital number, since it uses as much as digits as its factorization.

240937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 240937216 is about 15522.1524280623. The cubic root of 240937216 is about 622.2543804997.

The spelling of 240937216 in words is "two hundred forty million, nine hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 5569 10816 11138 21632 22276 43264 44552 72397 89104 144794 178208 289588 356416 579176 712832 941161 1158352 1425664 1882322 2316704 3764644 4633408 7529288 9266816 15058576 18533632 30117152 60234304 120468608 240937216