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1243424200 = 2352172291597
BaseRepresentation
bin100101000011101…
…0010010111001000
310012122201111100011
41022013102113020
510021304033300
6323214521304
742545634304
oct11207222710
93178644304
101243424200
11588976007
122a8506234
1316a7b9785
14bb1d4d04
1574266eba
hex4a1d25c8

1243424200 has 96 divisors (see below), whose sum is σ = 3076309800. Its totient is φ = 465776640.

The previous prime is 1243424197. The next prime is 1243424219. The reversal of 1243424200 is 24243421.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 283787716 + 959636484 = 16846^2 + 30978^2 .

It is a super-2 number, since 2×12434242002 = 3092207482291280000, which contains 22 as substring.

It is an unprimeable number.

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, 777802 + ... + 779398.

Almost surely, 21243424200 is an apocalyptic number.

1243424200 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 1243424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538154900).

1243424200 is an abundant number, since it is smaller than the sum of its proper divisors (1832885600).

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

1243424200 is a wasteful number, since it uses less digits than its factorization.

1243424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1243424200 is about 35262.2205767022. The cubic root of 1243424200 is about 1075.3250720531.

Adding to 1243424200 its reverse (24243421), we get a palindrome (1267667621).

The spelling of 1243424200 in words is "one billion, two hundred forty-three million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 229 340 425 458 680 850 916 1145 1597 1700 1832 2290 3194 3400 3893 4580 5725 6388 7786 7985 9160 11450 12776 15572 15970 19465 22900 27149 31144 31940 38930 39925 45800 54298 63880 77860 79850 97325 108596 135745 155720 159700 194650 217192 271490 319400 365713 389300 542980 678725 731426 778600 1085960 1357450 1462852 1828565 2714900 2925704 3657130 5429800 6217121 7314260 9142825 12434242 14628520 18285650 24868484 31085605 36571300 49736968 62171210 73142600 124342420 155428025 248684840 310856050 621712100 1243424200