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1244424300 = 2235274313781
BaseRepresentation
bin100101000101100…
…0110100001101100
310012201121022012220
41022023012201230
510022033034200
6323252155340
742560301120
oct11213064154
93181538186
101244424300
11589499439
122a8908b50
1316aa79a52
14bb3b5580
15743b34a0
hex4a2c686c

1244424300 has 144 divisors (see below), whose sum is σ = 4210897152. Its totient is φ = 277804800.

The previous prime is 1244424281. The next prime is 1244424329. The reversal of 1244424300 is 34244421.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 83410 + ... + 97190.

Almost surely, 21244424300 is an apocalyptic number.

1244424300 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 1244424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105448576).

1244424300 is an abundant number, since it is smaller than the sum of its proper divisors (2966472852).

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

1244424300 is a wasteful number, since it uses less digits than its factorization.

1244424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13841 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1244424300 is about 35276.3986257101. The cubic root of 1244424300 is about 1075.6132934570.

Adding to 1244424300 its reverse (34244421), we get a palindrome (1278668721).

The spelling of 1244424300 in words is "one billion, two hundred forty-four million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 13781 15050 18060 22575 27562 30100 41343 45150 55124 68905 82686 90300 96467 137810 165372 192934 206715 275620 289401 344525 385868 413430 482335 578802 592583 689050 826860 964670 1033575 1157604 1185166 1378100 1447005 1777749 1929340 2067150 2370332 2411675 2894010 2962915 3555498 4134300 4148081 4823350 5788020 5925830 7110996 7235025 8296162 8888745 9646700 11851660 12444243 14470050 14814575 16592324 17777490 20740405 24888486 28940100 29629150 35554980 41480810 44443725 49776972 59258300 62221215 82961620 88887450 103702025 124442430 177774900 207404050 248884860 311106075 414808100 622212150 1244424300