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3240405 = 3657127
BaseRepresentation
bin1100010111000111010101
320002122000000
430113013111
51312143110
6153241513
736354150
oct14270725
96078000
103240405
111913623
121103299
13895bcc
14604c97
154401c0
hex3171d5

3240405 has 56 divisors (see below), whose sum is σ = 6715392. Its totient is φ = 1469664.

The previous prime is 3240389. The next prime is 3240407. The reversal of 3240405 is 5040423.

It is a happy number.

It is not a de Polignac number, because 3240405 - 24 = 3240389 is a prime.

It is a Curzon number.

3240405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240407) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25452 + ... + 25578.

Almost surely, 23240405 is an apocalyptic number.

3240405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3240405 is an abundant number, since it is smaller than the sum of its proper divisors (3474987).

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

3240405 is an equidigital number, since it uses as much as digits as its factorization.

3240405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3240405 is about 1800.1124964846. The cubic root of 3240405 is about 147.9788897331.

Adding to 3240405 its sum of digits (18), we get a palindrome (3240423).

Adding to 3240405 its reverse (5040423), we get a palindrome (8280828).

The spelling of 3240405 in words is "three million, two hundred forty thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 127 135 189 243 315 381 405 567 635 729 889 945 1143 1215 1701 1905 2667 2835 3429 3645 4445 5103 5715 8001 8505 10287 13335 17145 24003 25515 30861 40005 51435 72009 92583 120015 154305 216027 360045 462915 648081 1080135 3240405