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243528064 = 2713314721
BaseRepresentation
bin11101000001111…
…11000110000000
3121222020111200221
432200333012000
5444320344224
640055352424
76014645233
oct1640770600
9558214627
10243528064
1111551326a
1269682714
133b5b7960
14244b341a
15165a66e4
hexe83f180

243528064 has 64 divisors (see below), whose sum is σ = 539441280. Its totient is φ = 108748800.

The previous prime is 243528037. The next prime is 243528067. The reversal of 243528064 is 460825342.

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 (243528067) 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, 49224 + ... + 53944.

It is an arithmetic number, because the mean of its divisors is an integer number (8428770).

Almost surely, 2243528064 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 243528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269720640).

243528064 is an abundant number, since it is smaller than the sum of its proper divisors (295913216).

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

243528064 is a wasteful number, since it uses less digits than its factorization.

243528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 243528064 is about 15605.3857369820. The cubic root of 243528064 is about 624.4768434938.

The spelling of 243528064 in words is "two hundred forty-three million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3224 3968 4721 6448 9442 12896 18884 25792 37768 51584 61373 75536 122746 146351 151072 245492 292702 302144 490984 585404 604288 981968 1170808 1902563 1963936 2341616 3805126 3927872 4683232 7610252 7855744 9366464 15220504 18732928 30441008 60882016 121764032 243528064