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1104099984 = 2434132712
BaseRepresentation
bin100000111001111…
…0011101010010000
32211221120002110000
41001303303222100
54230122144414
6301320410000
736234460251
oct10163635220
92757502400
101104099984
11517265729
12269916900
13147987c00
14a68c8b28
1566de5b09
hex41cf3a90

1104099984 has 225 divisors, whose sum is σ = 3509731929. Its totient is φ = 334938240.

The previous prime is 1104099979. The next prime is 1104099991. The reversal of 1104099984 is 4899904011.

The square root of 1104099984 is 33228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163328400 + 940771584 = 12780^2 + 30672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15550669 + ... + 15550739.

Almost surely, 21104099984 is an apocalyptic number.

1104099984 is the 33228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104099984

1104099984 is an abundant number, since it is smaller than the sum of its proper divisors (2405631945).

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

1104099984 is an equidigital number, since it uses as much as digits as its factorization.

1104099984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The cubic root of 1104099984 is about 1033.5610501494.

The spelling of 1104099984 in words is "one billion, one hundred four million, ninety-nine thousand, nine hundred eighty-four".