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338431 is a prime number
BaseRepresentation
bin1010010100111111111
3122012020111
41102213333
541312211
611130451
72606452
oct1224777
9565214
10338431
112112a5
12143a27
13bb072
148b499
156a421
hex529ff

338431 has 2 divisors, whose sum is σ = 338432. Its totient is φ = 338430.

The previous prime is 338423. The next prime is 338449. The reversal of 338431 is 134833.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 338431 - 23 = 338423 is a prime.

It is a super-2 number, since 2×3384312 = 229071083522, which contains 22 as substring.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338411) 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 as a sum of consecutive naturals, namely, 169215 + 169216.

It is an arithmetic number, because the mean of its divisors is an integer number (169216).

2338431 is an apocalyptic number.

338431 is a deficient number, since it is larger than the sum of its proper divisors (1).

338431 is an equidigital number, since it uses as much as digits as its factorization.

338431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 22.

The square root of 338431 is about 581.7482273286. The cubic root of 338431 is about 69.6877932716.

It can be divided in two parts, 33 and 8431, that added together give a square (8464 = 922).

The spelling of 338431 in words is "three hundred thirty-eight thousand, four hundred thirty-one".