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434138896 = 2452092
BaseRepresentation
bin11001111000000…
…110111100010000
31010020220112121101
4121320012330100
51342114421041
6111025034144
713521056032
oct3170067420
91106815541
10434138896
11203072a84
12101485954
136bc35429
144192dc52
15281a8b31
hex19e06f10

434138896 has 15 divisors (see below), whose sum is σ = 841305621. Its totient is φ = 217027776.

The previous prime is 434138893. The next prime is 434138951. The reversal of 434138896 is 698831434.

The square root of 434138896 is 20836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 425844496 + 8294400 = 20636^2 + 2880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434138893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 80740 + ... + 85948.

Almost surely, 2434138896 is an apocalyptic number.

434138896 is the 20836-th square number.

It is an amenable number.

434138896 is a deficient number, since it is larger than the sum of its proper divisors (407166725).

434138896 is an frugal number, since it uses more digits than its factorization.

434138896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426 (or 5211 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The cubic root of 434138896 is about 757.1981877007.

The spelling of 434138896 in words is "four hundred thirty-four million, one hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 5209 10418 20836 41672 83344 27133681 54267362 108534724 217069448 434138896