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1044404320 = 25571891033
BaseRepresentation
bin111110010000000…
…101100001100000
32200210020020101111
4332100011201200
54114331414240
6251345113104
734611201361
oct7620054140
92623206344
101044404320
114965a2473
12251928794
131384b662b
149c9c9b68
1561a531ea
hex3e405860

1044404320 has 96 divisors (see below), whose sum is σ = 2532720960. Its totient is φ = 406855680.

The previous prime is 1044404311. The next prime is 1044404321. The reversal of 1044404320 is 234044401.

It is a junction number, because it is equal to n+sod(n) for n = 1044404291 and 1044404300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044404321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010524 + ... + 1011556.

It is an arithmetic number, because the mean of its divisors is an integer number (26382510).

Almost surely, 21044404320 is an apocalyptic number.

1044404320 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 1044404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266360480).

1044404320 is an abundant number, since it is smaller than the sum of its proper divisors (1488316640).

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

1044404320 is a wasteful number, since it uses less digits than its factorization.

1044404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1044404320 is about 32317.2449320792. The cubic root of 1044404320 is about 1014.5876069833.

Adding to 1044404320 its reverse (234044401), we get a palindrome (1278448721).

The spelling of 1044404320 in words is "one billion, forty-four million, four hundred four thousand, three hundred twenty".