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420205314 = 23331921101
BaseRepresentation
bin11001000010111…
…101001100000010
31002021200122022210
4121002331030002
51330033032224
6105410242550
713261454244
oct3102751402
91067618283
10420205314
111a6216521
12b8886456
13690972c9
143db44094
1526d55429
hex190bd302

420205314 has 16 divisors (see below), whose sum is σ = 840703680. Its totient is φ = 140019600.

The previous prime is 420205267. The next prime is 420205339. The reversal of 420205314 is 413502024.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9364 + ... + 30464.

It is an arithmetic number, because the mean of its divisors is an integer number (52543980).

Almost surely, 2420205314 is an apocalyptic number.

420205314 is an abundant number, since it is smaller than the sum of its proper divisors (420498366).

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

420205314 is a wasteful number, since it uses less digits than its factorization.

420205314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24425.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420205314 is about 20498.9100685866. The cubic root of 420205314 is about 749.0092482353.

Adding to 420205314 its reverse (413502024), we get a palindrome (833707338).

The spelling of 420205314 in words is "four hundred twenty million, two hundred five thousand, three hundred fourteen".

Divisors: 1 2 3 6 3319 6638 9957 19914 21101 42202 63303 126606 70034219 140068438 210102657 420205314