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1243314000 = 24325369073
BaseRepresentation
bin100101000011011…
…0111011101010000
310012122111220011200
41022012313131100
510021242022000
6323212311200
742544665105
oct11206673520
93178456150
101243314000
11588900235
122a8472500
1316a77b576
14bb1a6aac
1574244500
hex4a1b7750

1243314000 has 120 divisors (see below), whose sum is σ = 4342544232. Its totient is φ = 331545600.

The previous prime is 1243313969. The next prime is 1243314029. The reversal of 1243314000 is 4133421.

It can be written as a sum of positive squares in 4 ways, for example, as 30603024 + 1212710976 = 5532^2 + 34824^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16537 + ... + 52536.

Almost surely, 21243314000 is an apocalyptic number.

1243314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1243314000 is an abundant number, since it is smaller than the sum of its proper divisors (3099230232).

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

1243314000 is a wasteful number, since it uses less digits than its factorization.

1243314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69102 (or 69083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1243314000 is about 35260.6579632315. The cubic root of 1243314000 is about 1075.2933037786.

Adding to 1243314000 its reverse (4133421), we get a palindrome (1247447421).

The spelling of 1243314000 in words is "one billion, two hundred forty-three million, three hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 69073 138146 207219 276292 345365 414438 552584 621657 690730 828876 1036095 1105168 1243314 1381460 1657752 1726825 2072190 2486628 2762920 3108285 3315504 3453650 4144380 4973256 5180475 5525840 6216570 6907300 8288760 8634125 9946512 10360950 12433140 13814600 15541425 16577520 17268250 20721900 24866280 25902375 27629200 31082850 34536500 41443800 49732560 51804750 62165700 69073000 77707125 82887600 103609500 124331400 138146000 155414250 207219000 248662800 310828500 414438000 621657000 1243314000