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4234122 = 23217101137
BaseRepresentation
bin10000001001101110001010
321222010010100
4100021232022
52040442442
6230430230
750663244
oct20115612
97863110
104234122
112432182
121502376
13b532c9
147c3094
1558984c
hex409b8a

4234122 has 48 divisors (see below), whose sum is σ = 9881352. Its totient is φ = 1305600.

The previous prime is 4234103. The next prime is 4234141. The reversal of 4234122 is 2214324.

It is an interprime number because it is at equal distance from previous prime (4234103) and next prime (4234141).

It can be written as a sum of positive squares in 4 ways, for example, as 4198401 + 35721 = 2049^2 + 189^2 .

It is a super-2 number, since 2×42341222 = 35855578221768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4234095 and 4234104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30838 + ... + 30974.

Almost surely, 24234122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940676).

4234122 is an abundant number, since it is smaller than the sum of its proper divisors (5647230).

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

4234122 is a wasteful number, since it uses less digits than its factorization.

4234122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4234122 is about 2057.6982286040. The cubic root of 4234122 is about 161.7786185046.

Adding to 4234122 its reverse (2214324), we get a palindrome (6448446).

It can be divided in two parts, 4234 and 122, that added together give a square (4356 = 662).

The spelling of 4234122 in words is "four million, two hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 137 153 202 274 303 306 411 606 822 909 1233 1717 1818 2329 2466 3434 4658 5151 6987 10302 13837 13974 15453 20961 27674 30906 41511 41922 83022 124533 235229 249066 470458 705687 1411374 2117061 4234122