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415424340 = 223252307913
BaseRepresentation
bin11000110000101…
…101111101010100
31001221200202001200
4120300231331110
51322322034330
6105115552500
713203022452
oct3060557524
91057622050
10415424340
111a3550501
12b715b730
13680b2126
143d25b9d2
152670da60
hex18c2df54

415424340 has 36 divisors (see below), whose sum is σ = 1260121044. Its totient is φ = 110779776.

The previous prime is 415424329. The next prime is 415424351. The reversal of 415424340 is 43424514.

It is a happy number.

415424340 is a `hidden beast` number, since 41 + 542 + 43 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (415424329) and next prime (415424351).

It can be written as a sum of positive squares in 2 ways, for example, as 286692624 + 128731716 = 16932^2 + 11346^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153777 + ... + 1154136.

Almost surely, 2415424340 is an apocalyptic number.

It is an amenable number.

415424340 is an abundant number, since it is smaller than the sum of its proper divisors (844696704).

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

415424340 is a wasteful number, since it uses less digits than its factorization.

415424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307928 (or 2307923 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 415424340 is about 20381.9611421472. The cubic root of 415424340 is about 746.1577362933.

Adding to 415424340 its reverse (43424514), we get a palindrome (458848854).

The spelling of 415424340 in words is "four hundred fifteen million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2307913 4615826 6923739 9231652 11539565 13847478 20771217 23079130 27694956 34618695 41542434 46158260 69237390 83084868 103856085 138474780 207712170 415424340