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1104111344 = 24743713229
BaseRepresentation
bin100000111001111…
…0110011011110000
32211221120200000202
41001303312123300
54230123030334
6301320534332
736234535340
oct10163663360
92757520022
101104111344
11517273216
122699213a8
1314799012b
14a68ccd20
1566de917e
hex41cf66f0

1104111344 has 80 divisors (see below), whose sum is σ = 2537694720. Its totient is φ = 455535360.

The previous prime is 1104111341. The next prime is 1104111373. The reversal of 1104111344 is 4431114011.

It is a super-4 number, since 4×11041113444 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104111341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340322 + ... + 343550.

It is an arithmetic number, because the mean of its divisors is an integer number (31721184).

Almost surely, 21104111344 is an apocalyptic number.

1104111344 is a gapful number since it is divisible by the number (14) 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 1104111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268847360).

1104111344 is an abundant number, since it is smaller than the sum of its proper divisors (1433583376).

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

1104111344 is a wasteful number, since it uses less digits than its factorization.

1104111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1104111344 is about 33228.1709397312. The cubic root of 1104111344 is about 1033.5645948807.

Adding to 1104111344 its reverse (4431114011), we get a palindrome (5535225355).

The spelling of 1104111344 in words is "one billion, one hundred four million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 71 86 112 142 172 284 301 344 497 568 602 688 994 1136 1204 1988 2408 3053 3229 3976 4816 6106 6458 7952 12212 12916 21371 22603 24424 25832 42742 45206 48848 51664 85484 90412 138847 170968 180824 229259 277694 341936 361648 458518 555388 917036 971929 1110776 1604813 1834072 1943858 2221552 3209626 3668144 3887716 6419252 7775432 9858137 12838504 15550864 19716274 25677008 39432548 69006959 78865096 138013918 157730192 276027836 552055672 1104111344