Search a number
-
+
243253360 = 2457617121
BaseRepresentation
bin11100111111111…
…00000001110000
3121221201112212201
432133330001300
5444233101420
640045432544
76012422320
oct1637740160
9557645781
10243253360
11115345939
126956b754
133b51c8cc
1424441280
151655010a
hexe7fc070

243253360 has 80 divisors (see below), whose sum is σ = 657047232. Its totient is φ = 82022400.

The previous prime is 243253343. The next prime is 243253393. The reversal of 243253360 is 63352342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30600 + ... + 37720.

Almost surely, 2243253360 is an apocalyptic number.

243253360 is a gapful number since it is divisible by the number (20) 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 243253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328523616).

243253360 is an abundant number, since it is smaller than the sum of its proper divisors (413793872).

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

243253360 is a wasteful number, since it uses less digits than its factorization.

243253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7196 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 243253360 is about 15596.5816767649. The cubic root of 243253360 is about 624.2419481435.

The spelling of 243253360 in words is "two hundred forty-three million, two hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 7121 8540 14242 17080 28484 34160 35605 49847 56968 71210 99694 113936 142420 199388 249235 284840 398776 434381 498470 569680 797552 868762 996940 1737524 1993880 2171905 3040667 3475048 3987760 4343810 6081334 6950096 8687620 12162668 15203335 17375240 24325336 30406670 34750480 48650672 60813340 121626680 243253360