Search a number
-
+
242968968 = 23321121672
BaseRepresentation
bin11100111101101…
…10100110001000
3121221012002202200
432132312212020
5444200001333
640035400200
76010126224
oct1636664610
9557162680
10242968968
11115171200
1269453060
133b450328
14243a9784
15164e5c13
hexe7b6988

242968968 has 108 divisors (see below), whose sum is σ = 727658295. Its totient is φ = 73186080.

The previous prime is 242968951. The next prime is 242968969. The reversal of 242968968 is 869869242.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 121484484 + 121484484 = 11022^2 + 11022^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11022.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242968969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1454821 + ... + 1454987.

Almost surely, 2242968968 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 242968968

242968968 is an abundant number, since it is smaller than the sum of its proper divisors (484689327).

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

242968968 is a wasteful number, since it uses less digits than its factorization.

242968968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 183 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 242968968 is about 15587.4618844763. The cubic root of 242968968 is about 623.9985823439.

The spelling of 242968968 in words is "two hundred forty-two million, nine hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 167 198 242 264 334 363 396 484 501 668 726 792 968 1002 1089 1336 1452 1503 1837 2004 2178 2904 3006 3674 4008 4356 5511 6012 7348 8712 11022 12024 14696 16533 20207 22044 27889 33066 40414 44088 55778 60621 66132 80828 83667 111556 121242 132264 161656 167334 181863 223112 242484 251001 306779 334668 363726 484968 502002 613558 669336 727452 920337 1004004 1227116 1454904 1840674 2008008 2454232 2761011 3374569 3681348 5522022 6749138 7362696 10123707 11044044 13498276 20247414 22088088 26996552 30371121 40494828 60742242 80989656 121484484 242968968