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234430100 = 22522344301
BaseRepresentation
bin11011111100100…
…01111010010100
3121100010021122022
431332101322110
5440003230400
635132352312
75544423452
oct1576217224
9540107568
10234430100
11110369893
1266615698
1339750848
14231c59d2
15158aab85
hexdf91e94

234430100 has 18 divisors (see below), whose sum is σ = 508713534. Its totient is φ = 93772000.

The previous prime is 234430057. The next prime is 234430117. The reversal of 234430100 is 1034432.

234430100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 66520336 + 167909764 = 8156^2 + 12958^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1172051 + ... + 1172250.

It is an arithmetic number, because the mean of its divisors is an integer number (28261863).

Almost surely, 2234430100 is an apocalyptic number.

234430100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234430100 is an abundant number, since it is smaller than the sum of its proper divisors (274283434).

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

234430100 is a wasteful number, since it uses less digits than its factorization.

234430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344315 (or 2344308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 234430100 is about 15311.1103451056. The cubic root of 234430100 is about 616.6013306316.

Adding to 234430100 its reverse (1034432), we get a palindrome (235464532).

The spelling of 234430100 in words is "two hundred thirty-four million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2344301 4688602 9377204 11721505 23443010 46886020 58607525 117215050 234430100