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4131324 = 223441311
BaseRepresentation
bin1111110000100111111100
321202220010000
433300213330
52024200244
6224314300
750054451
oct17604774
97686100
104131324
112371a1a
121472990
13b18592
14797828
15569169
hex3f09fc

4131324 has 60 divisors (see below), whose sum is σ = 11099088. Its totient is φ = 1339200.

The previous prime is 4131317. The next prime is 4131331. The reversal of 4131324 is 4231314.

It is an interprime number because it is at equal distance from previous prime (4131317) and next prime (4131331).

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 a junction number, because it is equal to n+sod(n) for n = 4131297 and 4131306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13129 + ... + 13439.

Almost surely, 24131324 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 4131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549544).

4131324 is an abundant number, since it is smaller than the sum of its proper divisors (6967764).

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

4131324 is a wasteful number, since it uses less digits than its factorization.

4131324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4131324 is about 2032.5658660914. The cubic root of 4131324 is about 160.4586320148.

Adding to 4131324 its reverse (4231314), we get a palindrome (8362638).

It can be divided in two parts, 4 and 131324, that added together give a triangular number (131328 = T512).

The spelling of 4131324 in words is "four million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 311 324 369 492 622 738 933 1107 1244 1476 1866 2214 2799 3321 3732 4428 5598 6642 8397 11196 12751 13284 16794 25191 25502 33588 38253 50382 51004 76506 100764 114759 153012 229518 344277 459036 688554 1032831 1377108 2065662 4131324