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1104044400 = 2432521916141
BaseRepresentation
bin100000111001110…
…0110000101110000
32211221110021012100
41001303212011300
54230113410100
6301315300400
736234136224
oct10163460560
92757407170
101104044400
11517227998
122698aa700
13147968814
14a68b2784
1566dd4400
hex41ce6170

1104044400 has 180 divisors, whose sum is σ = 4033240120. Its totient is φ = 278899200.

The previous prime is 1104044371. The next prime is 1104044423. The reversal of 1104044400 is 44404011.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

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 35 ways as a sum of consecutive naturals, for example, 60330 + ... + 76470.

Almost surely, 21104044400 is an apocalyptic number.

1104044400 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 1104044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016620060).

1104044400 is an abundant number, since it is smaller than the sum of its proper divisors (2929195720).

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

1104044400 is a wasteful number, since it uses less digits than its factorization.

1104044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16184 (or 16170 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1104044400 is about 33227.1635864393. The cubic root of 1104044400 is about 1033.5437055785.

Adding to 1104044400 its reverse (44404011), we get a palindrome (1148448411).

The spelling of 1104044400 in words is "one billion, one hundred four million, forty-four thousand, four hundred".