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434055011 = 13234767461
BaseRepresentation
bin11001110111110…
…010011101100011
31010020202021112112
4121313302131203
51342104230021
6111023145535
713520256335
oct3167623543
91106667475
10434055011
11203015a55
121014452ab
136bc061b0
144190b455
152818dd5b
hex19df2763

434055011 has 32 divisors (see below), whose sum is σ = 506677248. Its totient is φ = 368691840.

The previous prime is 434054983. The next prime is 434055031. The reversal of 434055011 is 110550434.

It is not a de Polignac number, because 434055011 - 226 = 366946147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434055031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941321 + ... + 941781.

It is an arithmetic number, because the mean of its divisors is an integer number (15833664).

Almost surely, 2434055011 is an apocalyptic number.

434055011 is a deficient number, since it is larger than the sum of its proper divisors (72622237).

434055011 is a wasteful number, since it uses less digits than its factorization.

434055011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 434055011 is about 20833.9869204144. The cubic root of 434055011 is about 757.1494155512.

The spelling of 434055011 in words is "four hundred thirty-four million, fifty-five thousand, eleven".

Divisors: 1 13 23 47 67 299 461 611 871 1081 1541 3149 5993 10603 14053 20033 21667 30887 40937 72427 137839 281671 401531 498341 710401 941551 1451689 6478433 9235213 18871957 33388847 434055011