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1834323768 = 233225476719
BaseRepresentation
bin110110101010101…
…1000111100111000
311201211121022011100
41231111120330320
512224041330033
6502003531400
763312331464
oct15525307470
94654538140
101834323768
11861478662
12432389b60
1323304a0a4
1413588d4a4
15ab088513
hex6d558f38

1834323768 has 24 divisors (see below), whose sum is σ = 4967960400. Its totient is φ = 611441232.

The previous prime is 1834323739. The next prime is 1834323781. The reversal of 1834323768 is 8673234381.

1834323768 is a `hidden beast` number, since 18 + 343 + 237 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12738288 + ... + 12738431.

It is an arithmetic number, because the mean of its divisors is an integer number (206998350).

Almost surely, 21834323768 is an apocalyptic number.

1834323768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1834323768 is an abundant number, since it is smaller than the sum of its proper divisors (3133636632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1834323768 is a wasteful number, since it uses less digits than its factorization.

1834323768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25476731 (or 25476724 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1834323768 is about 42829.0061523729. The cubic root of 1834323768 is about 1224.1237700036.

The spelling of 1834323768 in words is "one billion, eight hundred thirty-four million, three hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 25476719 50953438 76430157 101906876 152860314 203813752 229290471 305720628 458580942 611441256 917161884 1834323768