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1803522340 = 2253143611109
BaseRepresentation
bin110101101111111…
…1001000100100100
311122200122102112201
41223133321010210
512143200203330
6454543424244
762456454424
oct15337710444
94580572481
101803522340
11846050034
12423bb5084
132298543a9
14131752484
15a8501eca
hex6b7f9124

1803522340 has 96 divisors (see below), whose sum is σ = 4069739520. Its totient is φ = 670118400.

The previous prime is 1803522337. The next prime is 1803522353. The reversal of 1803522340 is 432253081.

It is a junction number, because it is equal to n+sod(n) for n = 1803522299 and 1803522308.

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 31 ways as a sum of consecutive naturals, for example, 1625706 + ... + 1626814.

It is an arithmetic number, because the mean of its divisors is an integer number (42393120).

Almost surely, 21803522340 is an apocalyptic number.

1803522340 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 1803522340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034869760).

1803522340 is an abundant number, since it is smaller than the sum of its proper divisors (2266217180).

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

1803522340 is a wasteful number, since it uses less digits than its factorization.

1803522340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1803522340 is about 42467.8977581891. The cubic root of 1803522340 is about 1217.2333481615.

The spelling of 1803522340 in words is "one billion, eight hundred three million, five hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 43 61 62 86 122 124 155 172 215 244 305 310 430 610 620 860 1109 1220 1333 1891 2218 2623 2666 3782 4436 5246 5332 5545 6665 7564 9455 10492 11090 13115 13330 18910 22180 26230 26660 34379 37820 47687 52460 67649 68758 81313 95374 135298 137516 162626 171895 190748 238435 270596 325252 338245 343790 406565 476870 676490 687580 813130 953740 1352980 1478297 1626260 2097119 2908907 2956594 4194238 5817814 5913188 7391485 8388476 10485595 11635628 14544535 14782970 20971190 29089070 29565940 41942380 58178140 90176117 180352234 360704468 450880585 901761170 1803522340