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1244340000 = 25325431223
BaseRepresentation
bin100101000101011…
…0001111100100000
310012201110000120200
41022022301330200
510022022340000
6323250305200
742556500261
oct11212617440
93181400520
101244340000
11589441072
122a8888200
1316aa4a577
14bb392968
1574398500
hex4a2b1f20

1244340000 has 360 divisors, whose sum is σ = 4584932352. Its totient is φ = 319680000.

The previous prime is 1244339983. The next prime is 1244340073. The reversal of 1244340000 is 434421.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5579889 + ... + 5580111.

Almost surely, 21244340000 is an apocalyptic number.

1244340000 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 1244340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292466176).

1244340000 is an abundant number, since it is smaller than the sum of its proper divisors (3340592352).

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

1244340000 is a wasteful number, since it uses less digits than its factorization.

1244340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1244340000 is about 35275.2037556128. The cubic root of 1244340000 is about 1075.5890047831.

Adding to 1244340000 its reverse (434421), we get a palindrome (1244774421).

The spelling of 1244340000 in words is "one billion, two hundred forty-four million, three hundred forty thousand".