Search a number
-
+
241303680 = 2732541893
BaseRepresentation
bin11100110001000…
…00000010000000
3121211001111102100
432120200002000
5443233204210
635535550400
75660022162
oct1630400200
9554044370
10241303680
11114234032
126898b400
133acb9357
1424094932
15162b75c0
hexe620080

241303680 has 96 divisors (see below), whose sum is σ = 833271660. Its totient is φ = 64346112.

The previous prime is 241303679. The next prime is 241303709. The reversal of 241303680 is 86303142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 235192896 + 6110784 = 15336^2 + 2472^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15187 + ... + 26706.

Almost surely, 2241303680 is an apocalyptic number.

241303680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241303680 is an abundant number, since it is smaller than the sum of its proper divisors (591967980).

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

241303680 is a wasteful number, since it uses less digits than its factorization.

241303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41918 (or 41903 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 241303680 is about 15533.9524912367. The cubic root of 241303680 is about 622.5697023610.

The spelling of 241303680 in words is "two hundred forty-one million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 41893 83786 125679 167572 209465 251358 335144 377037 418930 502716 628395 670288 754074 837860 1005432 1256790 1340576 1508148 1675720 1885185 2010864 2513580 2681152 3016296 3351440 3770370 4021728 5027160 5362304 6032592 6702880 7540740 8043456 10054320 12065184 13405760 15081480 16086912 20108640 24130368 26811520 30162960 40217280 48260736 60325920 80434560 120651840 241303680