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1830045330 = 232593721701
BaseRepresentation
bin110110100010100…
…0100011010010010
311201112112221020200
41231011010122102
512221442422310
6501332120030
763231062061
oct15505043222
94645487220
101830045330
1185a016163
12430a66016
132321ac879
141350981d8
15aa9e09c0
hex6d144692

1830045330 has 48 divisors (see below), whose sum is σ = 4763415384. Its totient is φ = 487468800.

The previous prime is 1830045317. The next prime is 1830045331. The reversal of 1830045330 is 335400381.

It is a happy number.

1830045330 is a `hidden beast` number, since 183 + 0 + 0 + 453 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1369814121 + 460231209 = 37011^2 + 21453^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1830045294 and 1830045303.

It is not an unprimeable number, because it can be changed into a prime (1830045331) 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 23 ways as a sum of consecutive naturals, for example, 73480 + ... + 95180.

Almost surely, 21830045330 is an apocalyptic number.

1830045330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1830045330 is an abundant number, since it is smaller than the sum of its proper divisors (2933370054).

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

1830045330 is a wasteful number, since it uses less digits than its factorization.

1830045330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22651 (or 22648 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1830045330 is about 42779.0290913667. The cubic root of 1830045330 is about 1223.1713000445.

The spelling of 1830045330 in words is "one billion, eight hundred thirty million, forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 937 1874 2811 4685 5622 8433 9370 14055 16866 21701 28110 42165 43402 65103 84330 108505 130206 195309 217010 325515 390618 651030 976545 1953090 20333837 40667674 61001511 101669185 122003022 183004533 203338370 305007555 366009066 610015110 915022665 1830045330