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1842348420 = 2232511284589
BaseRepresentation
bin110110111010000…
…0000000110000100
311202101200222220200
41231310000012010
512233120122140
6502451530500
763440463123
oct15564000604
94671628820
101842348420
11865a59700
12434bb9a30
132348c97c3
1413697baba
15abb21030
hex6dd00184

1842348420 has 108 divisors (see below), whose sum is σ = 6142756620. Its totient is φ = 446624640.

The previous prime is 1842348397. The next prime is 1842348421. The reversal of 1842348420 is 248432481.

It can be written as a sum of positive squares in 2 ways, for example, as 1141899264 + 700449156 = 33792^2 + 26466^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1842348421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20515 + ... + 64074.

Almost surely, 21842348420 is an apocalyptic number.

1842348420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1842348420 is an abundant number, since it is smaller than the sum of its proper divisors (4300408200).

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

1842348420 is a wasteful number, since it uses less digits than its factorization.

1842348420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84626 (or 84610 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1842348420 is about 42922.5863619610. The cubic root of 1842348420 is about 1225.9062393091.

The spelling of 1842348420 in words is "one billion, eight hundred forty-two million, three hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 84589 169178 253767 338356 422945 507534 761301 845890 930479 1015068 1268835 1522602 1691780 1860958 2537670 2791437 3045204 3721916 3806505 4652395 5075340 5582874 7613010 8374311 9304790 10235269 11165748 13957185 15226020 16748622 18609580 20470538 27914370 30705807 33497244 40941076 41871555 51176345 55828740 61411614 83743110 92117421 102352690 122823228 153529035 167486220 184234842 204705380 307058070 368469684 460587105 614116140 921174210 1842348420