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428353 is a prime number
BaseRepresentation
bin1101000100101000001
3210202120221
41220211001
5102201403
613103041
73432562
oct1504501
9722527
10428353
11272912
12187a81
1311cc83
14b2169
1586dbd
hex68941

428353 has 2 divisors, whose sum is σ = 428354. Its totient is φ = 428352.

The previous prime is 428339. The next prime is 428369. The reversal of 428353 is 353824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425104 + 3249 = 652^2 + 57^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-428353 is a prime.

428353 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (428303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214176 + 214177.

It is an arithmetic number, because the mean of its divisors is an integer number (214177).

2428353 is an apocalyptic number.

It is an amenable number.

428353 is a deficient number, since it is larger than the sum of its proper divisors (1).

428353 is an equidigital number, since it uses as much as digits as its factorization.

428353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 25.

The square root of 428353 is about 654.4868218689. The cubic root of 428353 is about 75.3819332069.

Subtracting from 428353 its reverse (353824), we obtain a square (74529 = 2732).

The spelling of 428353 in words is "four hundred twenty-eight thousand, three hundred fifty-three".