Search a number
-
+
1104340116 = 22311192811567
BaseRepresentation
bin100000111010010…
…1110010010010100
32211222000021211210
41001310232102110
54230202340431
6301325501420
736236510325
oct10164562224
92758007753
101104340116
1151740a090
12269a11870
13147a402b9
14a694c44c
1566e41d46
hex41d2e494

1104340116 has 96 divisors (see below), whose sum is σ = 2971422720. Its totient is φ = 315705600.

The previous prime is 1104340103. The next prime is 1104340117. The reversal of 1104340116 is 6110434011.

It is a junction number, because it is equal to n+sod(n) for n = 1104340092 and 1104340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104340117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 703965 + ... + 705531.

It is an arithmetic number, because the mean of its divisors is an integer number (30952320).

Almost surely, 21104340116 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 1104340116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485711360).

1104340116 is an abundant number, since it is smaller than the sum of its proper divisors (1867082604).

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

1104340116 is a wasteful number, since it uses less digits than its factorization.

1104340116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1104340116 is about 33231.6132018896. The cubic root of 1104340116 is about 1033.6359748527.

Adding to 1104340116 its reverse (6110434011), we get a palindrome (7214774127).

The spelling of 1104340116 in words is "one billion, one hundred four million, three hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 281 418 562 627 836 843 1124 1254 1567 1686 2508 3091 3134 3372 4701 5339 6182 6268 9273 9402 10678 12364 16017 17237 18546 18804 21356 29773 32034 34474 37092 51711 58729 59546 64068 68948 89319 103422 117458 119092 176187 178638 206844 234916 327503 352374 357276 440327 655006 704748 880654 982509 1310012 1320981 1761308 1965018 2641962 3930036 4843597 5283924 8366213 9687194 14530791 16732426 19374388 25098639 29061582 33464852 50197278 58123164 92028343 100394556 184056686 276085029 368113372 552170058 1104340116