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414340 = 22520717
BaseRepresentation
bin1100101001010000100
3210001100221
41211022010
5101224330
612514124
73343663
oct1451204
9701327
10414340
11263333
1217b944
13116794
14aadda
1582b7a
hex65284

414340 has 12 divisors (see below), whose sum is σ = 870156. Its totient is φ = 165728.

The previous prime is 414331. The next prime is 414347. The reversal of 414340 is 43414.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 352836 = 248^2 + 594^2 .

It is not an unprimeable number, because it can be changed into a prime (414347) by changing a digit.

414340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10339 + ... + 10378.

It is an arithmetic number, because the mean of its divisors is an integer number (72513).

2414340 is an apocalyptic number.

It is an amenable number.

414340 is an abundant number, since it is smaller than the sum of its proper divisors (455816).

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

414340 is a wasteful number, since it uses less digits than its factorization.

414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20726 (or 20724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 414340 is about 643.6924731578. The cubic root of 414340 is about 74.5507964012.

Adding to 414340 its reverse (43414), we get a palindrome (457754).

The spelling of 414340 in words is "four hundred fourteen thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 20717 41434 82868 103585 207170 414340