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1243314200 = 235261223457
BaseRepresentation
bin100101000011011…
…0111100000011000
310012122111220110002
41022012313200120
510021242023300
6323212312132
742544665512
oct11206674030
93178456402
101243314200
115889003a7
122a8472648
1316a77b69b
14bb1a6bb2
15742445d5
hex4a1b7818

1243314200 has 96 divisors (see below), whose sum is σ = 2957727360. Its totient is φ = 485913600.

The previous prime is 1243314167. The next prime is 1243314209. The reversal of 1243314200 is 24133421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243314209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2720372 + ... + 2720828.

It is an arithmetic number, because the mean of its divisors is an integer number (30809660).

Almost surely, 21243314200 is an apocalyptic number.

1243314200 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 1243314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478863680).

1243314200 is an abundant number, since it is smaller than the sum of its proper divisors (1714413160).

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

1243314200 is a wasteful number, since it uses less digits than its factorization.

1243314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1243314200 is about 35260.6607992533. The cubic root of 1243314200 is about 1075.2933614359.

Adding to 1243314200 its reverse (24133421), we get a palindrome (1267447621).

The spelling of 1243314200 in words is "one billion, two hundred forty-three million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 223 244 305 446 457 488 610 892 914 1115 1220 1525 1784 1828 2230 2285 2440 3050 3656 4460 4570 5575 6100 8920 9140 11150 11425 12200 13603 18280 22300 22850 27206 27877 44600 45700 54412 55754 68015 91400 101911 108824 111508 136030 139385 203822 223016 272060 278770 340075 407644 509555 544120 557540 680150 696925 815288 1019110 1115080 1360300 1393850 2038220 2547775 2720600 2787700 4076440 5095550 5575400 6216571 10191100 12433142 20382200 24866284 31082855 49732568 62165710 124331420 155414275 248662840 310828550 621657100 1243314200