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414243234 = 23419313249
BaseRepresentation
bin11000101100001…
…101100110100010
31001212110201220000
4120230031212202
51322021240414
6105034400430
713160003136
oct3054154642
91055421800
10414243234
111a2914089
12b6890116
1367a8a652
143d0313c6
1526578b09
hex18b0d9a2

414243234 has 40 divisors (see below), whose sum is σ = 933091500. Its totient is φ = 137355264.

The previous prime is 414243229. The next prime is 414243241. The reversal of 414243234 is 432342414.

It is a happy number.

414243234 is a `hidden beast` number, since 4 + 1 + 424 + 3 + 234 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386712225 + 27531009 = 19665^2 + 5247^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414243198 and 414243207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24642 + ... + 37890.

Almost surely, 2414243234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414243234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466545750).

414243234 is an abundant number, since it is smaller than the sum of its proper divisors (518848266).

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

414243234 is a wasteful number, since it uses less digits than its factorization.

414243234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13456 (or 13447 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 414243234 is about 20352.9662211679. The cubic root of 414243234 is about 745.4499235621.

Adding to 414243234 its reverse (432342414), we get a palindrome (846585648).

The spelling of 414243234 in words is "four hundred fourteen million, two hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 1158 1737 3474 5211 10422 13249 15633 26498 31266 39747 79494 119241 238482 357723 715446 1073169 2146338 2557057 5114114 7671171 15342342 23013513 46027026 69040539 138081078 207121617 414243234