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243750352 = 24178910069
BaseRepresentation
bin11101000011101…
…01010111010000
3121222122210121211
432201311113100
5444400002402
640104225504
76016562266
oct1641652720
9558583554
10243750352
1111565527a
126976b294
133b664ba1
1424530436
15165ec4d7
hexe8755d0

243750352 has 40 divisors (see below), whose sum is σ = 505715400. Its totient is φ = 113405952.

The previous prime is 243750349. The next prime is 243750401. The reversal of 243750352 is 253057342.

243750352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14409616 + 229340736 = 3796^2 + 15144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19174 + ... + 29242.

It is an arithmetic number, because the mean of its divisors is an integer number (12642885).

Almost surely, 2243750352 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 243750352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252857700).

243750352 is an abundant number, since it is smaller than the sum of its proper divisors (261965048).

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

243750352 is a wasteful number, since it uses less digits than its factorization.

243750352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10183 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 31.

The square root of 243750352 is about 15612.5062690140. The cubic root of 243750352 is about 624.6667894247. Note that the first 3 decimals are identical.

The spelling of 243750352 in words is "two hundred forty-three million, seven hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 6052 10069 12104 20138 24208 40276 80552 161104 171173 342346 684692 896141 1369384 1792282 2738768 3584564 7169128 14338256 15234397 30468794 60937588 121875176 243750352