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243425664 = 2732375711
BaseRepresentation
bin11101000001001…
…10000110000000
3121222001022020100
432200212012000
5444304110124
640053242400
76014040546
oct1640460600
9558038210
10243425664
11115453339
1269633400
133b580171
1424487d96
15165861c9
hexe826180

243425664 has 96 divisors (see below), whose sum is σ = 719540640. Its totient is φ = 78935040.

The previous prime is 243425657. The next prime is 243425717. The reversal of 243425664 is 466524342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2434256643 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39769 + ... + 45479.

It is an arithmetic number, because the mean of its divisors is an integer number (7495215).

Almost surely, 2243425664 is an apocalyptic number.

243425664 is a gapful number since it is divisible by the number (24) 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 243425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359770320).

243425664 is an abundant number, since it is smaller than the sum of its proper divisors (476114976).

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

243425664 is a wasteful number, since it uses less digits than its factorization.

243425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5753 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 243425664 is about 15602.1044734356. The cubic root of 243425664 is about 624.3893034205.

The spelling of 243425664 in words is "two hundred forty-three million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 5711 7104 10656 11422 14208 17133 21312 22844 34266 42624 45688 51399 68532 91376 102798 137064 182752 205596 211307 274128 365504 411192 422614 548256 633921 731008 822384 845228 1096512 1267842 1644768 1690456 1901763 2193024 2535684 3289536 3380912 3803526 5071368 6579072 6761824 7607052 10142736 13523648 15214104 20285472 27047296 30428208 40570944 60856416 81141888 121712832 243425664