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234413300 = 225211219373
BaseRepresentation
bin11011111100011…
…01110011110100
3121100002102121002
431332031303310
5440002211200
635132142432
75544323462
oct1576156364
9540072532
10234413300
11110358200
1266607a18
1339745cc4
14231bd832
15158a5bd5
hexdf8dcf4

234413300 has 54 divisors (see below), whose sum is σ = 559153014. Its totient is φ = 85236800.

The previous prime is 234413261. The next prime is 234413341. The reversal of 234413300 is 3314432.

It can be written as a sum of positive squares in 3 ways, for example, as 4648336 + 229764964 = 2156^2 + 15158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2414 + ... + 21786.

Almost surely, 2234413300 is an apocalyptic number.

234413300 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 234413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279576507).

234413300 is an abundant number, since it is smaller than the sum of its proper divisors (324739714).

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

234413300 is a wasteful number, since it uses less digits than its factorization.

234413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409 (or 19391 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 234413300 is about 15310.5617140587. The cubic root of 234413300 is about 616.5866010814.

Adding to 234413300 its reverse (3314432), we get a palindrome (237727732).

The spelling of 234413300 in words is "two hundred thirty-four million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 19373 38746 77492 96865 193730 213103 387460 426206 484325 852412 968650 1065515 1937300 2131030 2344133 4262060 4688266 5327575 9376532 10655150 11720665 21310300 23441330 46882660 58603325 117206650 234413300