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434457 = 3316091
BaseRepresentation
bin1101010000100011001
3211001222000
41222010121
5102400312
613151213
73456432
oct1520431
9731860
10434457
11277461
1218b509
1312299a
14b4489
1588adc
hex6a119

434457 has 8 divisors (see below), whose sum is σ = 643680. Its totient is φ = 289620.

The previous prime is 434437. The next prime is 434459. The reversal of 434457 is 754434.

It is not a de Polignac number, because 434457 - 28 = 434201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 16091 = 434457 / (4 + 3 + 4 + 4 + 5 + 7).

434457 is a lucky number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 434457.

It is not an unprimeable number, because it can be changed into a prime (434459) 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, 8019 + ... + 8072.

It is an arithmetic number, because the mean of its divisors is an integer number (80460).

2434457 is an apocalyptic number.

It is an amenable number.

434457 is a deficient number, since it is larger than the sum of its proper divisors (209223).

434457 is a wasteful number, since it uses less digits than its factorization.

434457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16100 (or 16094 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 434457 is about 659.1335221334. The cubic root of 434457 is about 75.7383081651.

The spelling of 434457 in words is "four hundred thirty-four thousand, four hundred fifty-seven".

Divisors: 1 3 9 27 16091 48273 144819 434457