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1830813336 = 2332118327851
BaseRepresentation
bin110110100011111…
…1111111010011000
311201120222221202100
41231013333322120
512222142011321
6501400403400
763240441132
oct15507777230
94646887670
101830813336
1185a4a0180
12431176560
132323bb301
14135218052
15aaae3326
hex6d1ffe98

1830813336 has 96 divisors (see below), whose sum is σ = 5474589120. Its totient is φ = 548088000.

The previous prime is 1830813311. The next prime is 1830813349. The reversal of 1830813336 is 6333180381.

1830813336 is a `hidden beast` number, since 1 + 8 + 308 + 13 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1830813336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51811 + ... + 79661.

It is an arithmetic number, because the mean of its divisors is an integer number (57026970).

Almost surely, 21830813336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830813336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737294560).

1830813336 is an abundant number, since it is smaller than the sum of its proper divisors (3643775784).

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

1830813336 is a wasteful number, since it uses less digits than its factorization.

1830813336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27957 (or 27950 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1830813336 is about 42788.0045807233. The cubic root of 1830813336 is about 1223.3423835146.

The spelling of 1830813336 in words is "one billion, eight hundred thirty million, eight hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 7304 8217 10956 16434 21912 27851 32868 55702 65736 83553 111404 167106 222808 250659 306361 334212 501318 612722 668424 919083 1002636 1225444 1838166 2005272 2311633 2450888 2757249 3676332 4623266 5514498 6934899 7352664 9246532 11028996 13869798 18493064 20804697 22057992 25427963 27739596 41609394 50855926 55479192 76283889 83218788 101711852 152567778 166437576 203423704 228851667 305135556 457703334 610271112 915406668 1830813336