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1834314329 = 97173281389
BaseRepresentation
bin110110101010101…
…0110101001011001
311201211120211012202
41231111112221121
512224041024304
6502003415545
763312262121
oct15525265131
94654524182
101834314329
11861471561
124323845b5
132330459c3
14135889c81
15ab08581e
hex6d556a59

1834314329 has 16 divisors (see below), whose sum is σ = 1875378960. Its totient is φ = 1793863680.

The previous prime is 1834314311. The next prime is 1834314337. The reversal of 1834314329 is 9234134381.

It can be written as a sum of positive squares in 8 ways, for example, as 49674304 + 1784640025 = 7048^2 + 42245^2 .

It is a de Polignac number, because none of the positive numbers 2k-1834314329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1834314292 and 1834314301.

It is not an unprimeable number, because it can be changed into a prime (1834314389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4715267 + ... + 4715655.

It is an arithmetic number, because the mean of its divisors is an integer number (117211185).

Almost surely, 21834314329 is an apocalyptic number.

It is an amenable number.

1834314329 is a deficient number, since it is larger than the sum of its proper divisors (41064631).

1834314329 is a wasteful number, since it uses less digits than its factorization.

1834314329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940.

The product of its digits is 62208, while the sum is 38.

The square root of 1834314329 is about 42828.8959582196. The cubic root of 1834314329 is about 1224.1216703154.

The spelling of 1834314329 in words is "one billion, eight hundred thirty-four million, three hundred fourteen thousand, three hundred twenty-nine".

Divisors: 1 97 173 281 389 16781 27257 37733 48613 67297 109309 4715461 6527809 10602973 18910457 1834314329