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412234434 = 2351734903
BaseRepresentation
bin11000100100100…
…011001011000010
31001201200200100000
4120210203023002
51321013000214
6104523340430
713133635443
oct3044431302
91051620300
10412234434
111a1771917
12b6081716
1367536201
143ca6b2ca
15262cd809
hex189232c2

412234434 has 48 divisors (see below), whose sum is σ = 931799232. Its totient is φ = 136589328.

The previous prime is 412234399. The next prime is 412234439. The reversal of 412234434 is 434432214.

It is a happy number.

412234434 is a `hidden beast` number, since 4 + 1 + 223 + 4 + 434 = 666.

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 = 412234398 and 412234407.

It is not an unprimeable number, because it can be changed into a prime (412234439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81627 + ... + 86529.

It is an arithmetic number, because the mean of its divisors is an integer number (19412484).

Almost surely, 2412234434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412234434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465899616).

412234434 is an abundant number, since it is smaller than the sum of its proper divisors (519564798).

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

412234434 is a wasteful number, since it uses less digits than its factorization.

412234434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5081 counting only the distinct ones).

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

The square root of 412234434 is about 20303.5571760221. The cubic root of 412234434 is about 744.2429942494.

Adding to 412234434 its reverse (434432214), we get a palindrome (846666648).

The spelling of 412234434 in words is "four hundred twelve million, two hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 243 346 486 519 1038 1557 3114 4671 4903 9342 9806 14013 14709 28026 29418 42039 44127 84078 88254 132381 264762 397143 794286 848219 1191429 1696438 2382858 2544657 5089314 7633971 15267942 22901913 45803826 68705739 137411478 206117217 412234434