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1104014340 = 22335111317292
BaseRepresentation
bin100000111001101…
…1110110000000100
32211221101201222000
41001303132300010
54230111424330
6301314505300
736233652462
oct10163366004
92757351860
101104014340
11517207350
12269895230
13147957c30
14a68a5832
1566dca560
hex41cdec04

1104014340 has 576 divisors, whose sum is σ = 4424958720. Its totient is φ = 224501760.

The previous prime is 1104014333. The next prime is 1104014371. The reversal of 1104014340 is 434104011.

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

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 191 ways as a sum of consecutive naturals, for example, 38069446 + ... + 38069474.

It is an arithmetic number, because the mean of its divisors is an integer number (7682220).

Almost surely, 21104014340 is an apocalyptic number.

1104014340 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 1104014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212479360).

1104014340 is an abundant number, since it is smaller than the sum of its proper divisors (3320944380).

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

1104014340 is a wasteful number, since it uses less digits than its factorization.

1104014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1104014340 is about 33226.7112426132. The cubic root of 1104014340 is about 1033.5343253380.

Adding to 1104014340 its reverse (434104011), we get a palindrome (1538118351).

The spelling of 1104014340 in words is "one billion, one hundred four million, fourteen thousand, three hundred forty".