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234282420 = 2232510911941
BaseRepresentation
bin11011111011011…
…01110110110100
3121022211210001200
431331231312310
5434434014140
635125252500
75543240061
oct1575556664
9538753050
10234282420
11110278939
1266564130
13396cb568
1423187c68
151587c030
hexdf6ddb4

234282420 has 72 divisors (see below), whose sum is σ = 717236520. Its totient is φ = 61896960.

The previous prime is 234282413. The next prime is 234282427. The reversal of 234282420 is 24282432.

234282420 is a `hidden beast` number, since 234 + 2 + 8 + 2 + 420 = 666.

234282420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234282413) and next prime (234282427).

It can be written as a sum of positive squares in 4 ways, for example, as 20304036 + 213978384 = 4506^2 + 14628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234282427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13650 + ... + 25590.

Almost surely, 2234282420 is an apocalyptic number.

234282420 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 234282420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358618260).

234282420 is an abundant number, since it is smaller than the sum of its proper divisors (482954100).

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

234282420 is a wasteful number, since it uses less digits than its factorization.

234282420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12065 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 234282420 is about 15306.2869436059. The cubic root of 234282420 is about 616.4718267663.

The spelling of 234282420 in words is "two hundred thirty-four million, two hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 11941 19620 23882 35823 47764 59705 71646 107469 119410 143292 179115 214938 238820 358230 429876 537345 716460 1074690 1301569 2149380 2603138 3904707 5206276 6507845 7809414 11714121 13015690 15618828 19523535 23428242 26031380 39047070 46856484 58570605 78094140 117141210 234282420