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242421432 = 23311918263
BaseRepresentation
bin11100111001100…
…00111010111000
3121220011021200120
432130300322320
5444024441212
640015533240
76002356011
oct1634607270
9556137616
10242421432
111149278a0
126922a220
133b2bb046
14242a6008
151643888c
hexe730eb8

242421432 has 32 divisors (see below), whose sum is σ = 661150080. Its totient is φ = 73460960.

The previous prime is 242421427. The next prime is 242421433. The reversal of 242421432 is 234124242.

242421432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242421433) 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, 458868 + ... + 459395.

It is an arithmetic number, because the mean of its divisors is an integer number (20660940).

Almost surely, 2242421432 is an apocalyptic number.

242421432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242421432 is an abundant number, since it is smaller than the sum of its proper divisors (418728648).

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

242421432 is a wasteful number, since it uses less digits than its factorization.

242421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918283 (or 918279 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 242421432 is about 15569.8886315863. Note that the first 3 decimals coincide. The cubic root of 242421432 is about 623.5294982193.

Adding to 242421432 its reverse (234124242), we get a palindrome (476545674).

The spelling of 242421432 in words is "two hundred forty-two million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 918263 1836526 2754789 3673052 5509578 7346104 10100893 11019156 20201786 22038312 30302679 40403572 60605358 80807144 121210716 242421432