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1806341040 = 243357193619
BaseRepresentation
bin110101110101010…
…1001001110110000
311122212221122002000
41223222221032300
512144410403130
6455124054000
762522434260
oct15352511660
94585848060
101806341040
118476a5839
12424b34300
1322a30036a
14131c877a0
15a88ac260
hex6baa93b0

1806341040 has 320 divisors, whose sum is σ = 7159065600. Its totient is φ = 410075136.

The previous prime is 1806341021. The next prime is 1806341051. The reversal of 1806341040 is 401436081.

1806341040 is a `hidden beast` number, since 18 + 0 + 634 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1806340995 and 1806341013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2917851 + ... + 2918469.

It is an arithmetic number, because the mean of its divisors is an integer number (22372080).

Almost surely, 21806341040 is an apocalyptic number.

1806341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1806341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579532800).

1806341040 is an abundant number, since it is smaller than the sum of its proper divisors (5352724560).

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

1806341040 is a wasteful number, since it uses less digits than its factorization.

1806341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1806341040 is about 42501.0710453278. The cubic root of 1806341040 is about 1217.8671504501.

The spelling of 1806341040 in words is "one billion, eight hundred six million, three hundred forty-one thousand, forty".