Search a number
-
+
434271056 = 24291078747
BaseRepresentation
bin11001111000100…
…111001101010000
31010021011020220012
4121320213031100
51342133133211
6111031534052
713522146242
oct3170471520
91107136805
10434271056
112031532aa
1210152a328
136bc8062b
1441966092
15281d2d8b
hex19e27350

434271056 has 40 divisors (see below), whose sum is σ = 878649120. Its totient is φ = 207665024.

The previous prime is 434271053. The next prime is 434271059. The reversal of 434271056 is 650172434.

It is an interprime number because it is at equal distance from previous prime (434271053) and next prime (434271059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434271053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45275 + ... + 54021.

It is an arithmetic number, because the mean of its divisors is an integer number (21966228).

Almost surely, 2434271056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434271056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439324560).

434271056 is an abundant number, since it is smaller than the sum of its proper divisors (444378064).

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

434271056 is a wasteful number, since it uses less digits than its factorization.

434271056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 434271056 is about 20839.1711927322. The cubic root of 434271056 is about 757.2750150023.

The spelling of 434271056 in words is "four hundred thirty-four million, two hundred seventy-one thousand, fifty-six".

Divisors: 1 2 4 8 16 29 58 107 116 214 232 428 464 856 1712 3103 6206 8747 12412 17494 24824 34988 49648 69976 139952 253663 507326 935929 1014652 1871858 2029304 3743716 4058608 7487432 14974864 27141941 54283882 108567764 217135528 434271056