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1048350240 = 253257104003
BaseRepresentation
bin111110011111001…
…000111000100000
32201001122201011200
4332133020320200
54121334201430
6252005441200
734656554460
oct7637107040
92631581150
101048350240
11498848063
12253110200
131392686b2
149d335ba0
1562082460
hex3e7c8e20

1048350240 has 144 divisors (see below), whose sum is σ = 4088605248. Its totient is φ = 239620608.

The previous prime is 1048350239. The next prime is 1048350263. The reversal of 1048350240 is 420538401.

1048350240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 41922 + ... + 62081.

It is an arithmetic number, because the mean of its divisors is an integer number (28393092).

Almost surely, 21048350240 is an apocalyptic number.

1048350240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1048350240 is an abundant number, since it is smaller than the sum of its proper divisors (3040255008).

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

1048350240 is a wasteful number, since it uses less digits than its factorization.

1048350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104031 (or 104020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1048350240 is about 32378.2371354587. The cubic root of 1048350240 is about 1015.8637571252.

Adding to 1048350240 its reverse (420538401), we get a palindrome (1468888641).

The spelling of 1048350240 in words is "one billion, forty-eight million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 104003 208006 312009 416012 520015 624018 728021 832024 936027 1040030 1248036 1456042 1560045 1664048 1872054 2080060 2184063 2496072 2912084 3120090 3328096 3640105 3744108 4160120 4368126 4680135 4992144 5824168 6240180 6552189 7280210 7488216 8320240 8736252 9360270 9984288 10920315 11648336 12480360 13104378 14560420 14976432 16640480 17472504 18720540 21840630 23296672 24960720 26208756 29120840 29952864 32760945 34945008 37441080 43681260 49921440 52417512 58241680 65521890 69890016 74882160 87362520 104835024 116483360 131043780 149764320 174725040 209670048 262087560 349450080 524175120 1048350240