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4122324 = 2232432663
BaseRepresentation
bin1111101110011011010100
321202102202200
433232123110
52023403244
6224204500
750016303
oct17563324
97672680
104122324
112366188
121469730
13b1445b
1479443a
15566669
hex3ee6d4

4122324 has 36 divisors (see below), whose sum is σ = 10666656. Its totient is φ = 1341648.

The previous prime is 4122317. The next prime is 4122329. The reversal of 4122324 is 4232214.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4122297 and 4122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122329) 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, 217 + ... + 2879.

It is an arithmetic number, because the mean of its divisors is an integer number (296296).

Almost surely, 24122324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333328).

4122324 is an abundant number, since it is smaller than the sum of its proper divisors (6544332).

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

4122324 is a wasteful number, since it uses less digits than its factorization.

4122324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2711 counting only the distinct ones).

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

The square root of 4122324 is about 2030.3507086215. The cubic root of 4122324 is about 160.3420287478.

Adding to 4122324 its reverse (4232214), we get a palindrome (8354538).

The spelling of 4122324 in words is "four million, one hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2663 5326 7989 10652 15978 23967 31956 47934 95868 114509 229018 343527 458036 687054 1030581 1374108 2061162 4122324