Search a number
-
+
1104296336 = 2411213172989
BaseRepresentation
bin100000111010010…
…0011100110010000
32211221221001210022
41001310203212100
54230144440321
6301324523012
736236235563
oct10164434620
92757831708
101104296336
1151738a200
122699b0468
13147a263b0
14a693a4da
1566e33dab
hex41d23990

1104296336 has 240 divisors, whose sum is σ = 2805289200. Its totient is φ = 416317440.

The previous prime is 1104296329. The next prime is 1104296341. The reversal of 1104296336 is 6336924011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44142736 + 1060153600 = 6644^2 + 32560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1104296296 and 1104296305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12407780 + ... + 12407868.

It is an arithmetic number, because the mean of its divisors is an integer number (11688705).

Almost surely, 21104296336 is an apocalyptic number.

1104296336 is a gapful number since it is divisible by the number (16) 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 1104296336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402644600).

1104296336 is an abundant number, since it is smaller than the sum of its proper divisors (1700992864).

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

1104296336 is a wasteful number, since it uses less digits than its factorization.

1104296336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1104296336 is about 33230.9544852386. The cubic root of 1104296336 is about 1033.6223156607.

The spelling of 1104296336 in words is "one billion, one hundred four million, two hundred ninety-six thousand, three hundred thirty-six".