Search a number
-
+
354305329 = 7226892
BaseRepresentation
bin10101000111100…
…100010100110001
3220200200120112121
4111013210110301
51211200232304
655053554241
711531355100
oct2507442461
9820616477
10354305329
11171aa5924
129a7a5981
1358532a31
14350ac037
1521189554
hex151e4531

354305329 has 9 divisors (see below), whose sum is σ = 412304427. Its totient is φ = 303577344.

The previous prime is 354305321. The next prime is 354305333. The reversal of 354305329 is 923503453.

The square root of 354305329 is 18823.

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., 12794929 + 341510400 = 3577^2 + 18480^2 .

It is not a de Polignac number, because 354305329 - 23 = 354305321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354305294 and 354305303.

It is not an unprimeable number, because it can be changed into a prime (354305321) 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 8 ways as a sum of consecutive naturals, for example, 130417 + ... + 133105.

It is an arithmetic number, because the mean of its divisors is an integer number (45811603).

Almost surely, 2354305329 is an apocalyptic number.

354305329 is the 18823-rd square number.

354305329 is the 9412-nd centered octagonal number.

It is an amenable number.

354305329 is a deficient number, since it is larger than the sum of its proper divisors (57999098).

354305329 is an frugal number, since it uses more digits than its factorization.

354305329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The cubic root of 354305329 is about 707.6077184937.

The spelling of 354305329 in words is "three hundred fifty-four million, three hundred five thousand, three hundred twenty-nine".

Divisors: 1 7 49 2689 18823 131761 7230721 50615047 354305329