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1244442304 = 2679912803
BaseRepresentation
bin100101000101100…
…1010111011000000
310012201122012220201
41022023022323000
510022034123204
6323252414544
742560404450
oct11213127300
93181565821
101244442304
11589500a16
122a8917454
1316aa84cc1
14bb3bbd60
15743b89a4
hex4a2caec0

1244442304 has 56 divisors (see below), whose sum is σ = 2826073088. Its totient is φ = 532604160.

The previous prime is 1244442293. The next prime is 1244442319. The reversal of 1244442304 is 4032444421.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 442567 + ... + 445369.

Almost surely, 21244442304 is an apocalyptic number.

1244442304 is a gapful number since it is divisible by the number (14) 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 1244442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413036544).

1244442304 is an abundant number, since it is smaller than the sum of its proper divisors (1581630784).

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

1244442304 is an equidigital number, since it uses as much as digits as its factorization.

1244442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 1244442304 is about 35276.6538095665. The cubic root of 1244442304 is about 1075.6184806611.

Adding to 1244442304 its reverse (4032444421), we get a palindrome (5276886725).

The spelling of 1244442304 in words is "one billion, two hundred forty-four million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 991 1982 2803 3964 5606 6937 7928 11212 13874 15856 19621 22424 27748 31712 39242 44848 55496 63424 78484 89696 110992 156968 179392 221984 313936 443968 627872 1255744 2777773 5555546 11111092 19444411 22222184 38888822 44444368 77777644 88888736 155555288 177777472 311110576 622221152 1244442304