Search a number
-
+
1000443444 = 22371113372251
BaseRepresentation
bin111011101000011…
…000111000110100
32120201111210101220
4323220120320310
54022103142234
6243134550340
733535425510
oct7350307064
92521453356
101000443444
114737a6a70
1223b0683b0
1312c363c90
1496c25140
155cc6ca49
hex3ba18e34

1000443444 has 192 divisors, whose sum is σ = 3220396032. Its totient is φ = 233280000.

The previous prime is 1000443413. The next prime is 1000443467. The reversal of 1000443444 is 4443440001.

1000443444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10004434442 = 2001774169285162272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443319 + ... + 445569.

It is an arithmetic number, because the mean of its divisors is an integer number (16772896).

Almost surely, 21000443444 is an apocalyptic number.

1000443444 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 1000443444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610198016).

1000443444 is an abundant number, since it is smaller than the sum of its proper divisors (2219952588).

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

1000443444 is a wasteful number, since it uses less digits than its factorization.

1000443444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

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

The square root of 1000443444 is about 31629.7872898317. The cubic root of 1000443444 is about 1000.1477928229.

Adding to 1000443444 its reverse (4443440001), we get a palindrome (5443883445).

It can be divided in two parts, 1000 and 443444, that added together give a palindrome (444444).

The spelling of 1000443444 in words is "one billion, four hundred forty-three thousand, four hundred forty-four".