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234330100 = 225210123201
BaseRepresentation
bin11011111011110…
…01011111110100
3121022221012110121
431331321133310
5434442030400
635130301324
75543526064
oct1575713764
9538835417
10234330100
11110300744
1266587844
1339717184
142319b3a4
151588b21a
hexdf797f4

234330100 has 36 divisors (see below), whose sum is σ = 513553068. Its totient is φ = 92800000.

The previous prime is 234330071. The next prime is 234330101. The reversal of 234330100 is 1033432.

It can be written as a sum of positive squares in 6 ways, for example, as 37601424 + 196728676 = 6132^2 + 14026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234330101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1501 + ... + 21700.

It is an arithmetic number, because the mean of its divisors is an integer number (14265363).

Almost surely, 2234330100 is an apocalyptic number.

234330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234330100 is an abundant number, since it is smaller than the sum of its proper divisors (279222968).

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

234330100 is a wasteful number, since it uses less digits than its factorization.

234330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23316 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 234330100 is about 15307.8443942967. The cubic root of 234330100 is about 616.5136443625.

Adding to 234330100 its reverse (1033432), we get a palindrome (235363532).

The spelling of 234330100 in words is "two hundred thirty-four million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 23201 46402 92804 116005 232010 464020 580025 1160050 2320100 2343301 4686602 9373204 11716505 23433010 46866020 58582525 117165050 234330100