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414330324 = 223177572683
BaseRepresentation
bin11000101100100…
…010110111010100
31001212122011100120
4120230202313110
51322032032244
6105040311540
713160515062
oct3054426724
91055564316
10414330324
111a2973561
12b69125b0
1367abb195
143d055032
1526594819
hex18b22dd4

414330324 has 48 divisors (see below), whose sum is σ = 1025373888. Its totient is φ = 129765888.

The previous prime is 414330317. The next prime is 414330353. The reversal of 414330324 is 423033414.

It is a junction number, because it is equal to n+sod(n) for n = 414330294 and 414330303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153087 + ... + 155769.

It is an arithmetic number, because the mean of its divisors is an integer number (21361956).

Almost surely, 2414330324 is an apocalyptic number.

It is an amenable number.

414330324 is an abundant number, since it is smaller than the sum of its proper divisors (611043564).

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

414330324 is a wasteful number, since it uses less digits than its factorization.

414330324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 414330324 is about 20355.1056003156. The cubic root of 414330324 is about 745.5021607337.

Adding to 414330324 its reverse (423033414), we get a palindrome (837363738).

The spelling of 414330324 in words is "four hundred fourteen million, three hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 757 1514 2271 2683 3028 4542 5366 8049 9084 10732 12869 16098 25738 32196 38607 45611 51476 77214 91222 136833 154428 182444 273666 547332 2031031 4062062 6093093 8124124 12186186 24372372 34527527 69055054 103582581 138110108 207165162 414330324