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413212340 = 22520660617
BaseRepresentation
bin11000101000010…
…001111010110100
31001210112100202202
4120220101322310
51321240243330
6105000324032
713145150462
oct3050217264
91053470682
10413212340
111a227a602
12b6473618
13677b9358
143cc43832
1526423445
hex18a11eb4

413212340 has 12 divisors (see below), whose sum is σ = 867745956. Its totient is φ = 165284928.

The previous prime is 413212301. The next prime is 413212357. The reversal of 413212340 is 43212314.

It can be written as a sum of positive squares in 2 ways, for example, as 95374756 + 317837584 = 9766^2 + 17828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20660617 = 413212340 / (4 + 1 + 3 + 2 + 1 + 2 + 3 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10330289 + ... + 10330328.

It is an arithmetic number, because the mean of its divisors is an integer number (72312163).

Almost surely, 2413212340 is an apocalyptic number.

It is an amenable number.

413212340 is an abundant number, since it is smaller than the sum of its proper divisors (454533616).

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

413212340 is a wasteful number, since it uses less digits than its factorization.

413212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660626 (or 20660624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413212340 is about 20327.6250457352. The cubic root of 413212340 is about 744.8310293489.

Adding to 413212340 its reverse (43212314), we get a palindrome (456424654).

The spelling of 413212340 in words is "four hundred thirteen million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 20660617 41321234 82642468 103303085 206606170 413212340