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434144020 = 22521707201
BaseRepresentation
bin11001111000001…
…000001100010100
31010020220210122011
4121320020030110
51342120102040
6111025114004
713521110002
oct3170101424
91106823564
10434144020
11203076912
12101488904
136bc3786b
1441931a72
15281aa3ea
hex19e08314

434144020 has 12 divisors (see below), whose sum is σ = 911702484. Its totient is φ = 173657600.

The previous prime is 434143999. The next prime is 434144023. The reversal of 434144020 is 20441434.

It can be written as a sum of positive squares in 2 ways, for example, as 191158276 + 242985744 = 13826^2 + 15588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434143982 and 434144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434144023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10853581 + ... + 10853620.

It is an arithmetic number, because the mean of its divisors is an integer number (75975207).

Almost surely, 2434144020 is an apocalyptic number.

It is an amenable number.

434144020 is an abundant number, since it is smaller than the sum of its proper divisors (477558464).

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

434144020 is a wasteful number, since it uses less digits than its factorization.

434144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21707210 (or 21707208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 434144020 is about 20836.1229598983. The cubic root of 434144020 is about 757.2011666768.

Adding to 434144020 its reverse (20441434), we get a palindrome (454585454).

The spelling of 434144020 in words is "four hundred thirty-four million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 21707201 43414402 86828804 108536005 217072010 434144020