Search a number
-
+
1004314444 = 22735868373
BaseRepresentation
bin111011110111001…
…001111101001100
32120222210110102021
4323313021331030
54024101030234
6243353535524
733613350310
oct7367117514
92528713367
101004314444
11475a00341
122404145a4
131300bac03
1497551b40
155d2849b4
hex3bdc9f4c

1004314444 has 12 divisors (see below), whose sum is σ = 2008628944. Its totient is φ = 430420464.

The previous prime is 1004314417. The next prime is 1004314469. The reversal of 1004314444 is 4444134001.

It is a happy number.

1004314444 is an admirable number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17934159 + ... + 17934214.

Almost surely, 21004314444 is an apocalyptic number.

1004314444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004314444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1004314444 is a wasteful number, since it uses less digits than its factorization.

1004314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35868384 (or 35868382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1004314444 is about 31690.9205293882. The cubic root of 1004314444 is about 1001.4360846736.

Adding to 1004314444 its reverse (4444134001), we get a palindrome (5448448445).

The spelling of 1004314444 in words is "one billion, four million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 35868373 71736746 143473492 251078611 502157222 1004314444