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1104004224 = 27323759439
BaseRepresentation
bin100000111001101…
…1100010010000000
32211221101020002100
41001303130102000
54230111113344
6301314350400
736233611131
oct10163342200
92757336070
101104004224
115171aa794
1226988b400
1314795344b
14a68a1c88
1566dc7569
hex41cdc480

1104004224 has 192 divisors, whose sum is σ = 3325608000. Its totient is φ = 351184896.

The previous prime is 1104004207. The next prime is 1104004243. The reversal of 1104004224 is 4224004011.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 1104004197 and 1104004206.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2514597 + ... + 2515035.

It is an arithmetic number, because the mean of its divisors is an integer number (17320875).

Almost surely, 21104004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662804000).

1104004224 is an abundant number, since it is smaller than the sum of its proper divisors (2221603776).

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

1104004224 is a wasteful number, since it uses less digits than its factorization.

1104004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

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

The square root of 1104004224 is about 33226.5590153419. The cubic root of 1104004224 is about 1033.5311685961.

Adding to 1104004224 its reverse (4224004011), we get a palindrome (5328008235).

The spelling of 1104004224 in words is "one billion, one hundred four million, four thousand, two hundred twenty-four".