Search a number
-
+
110340030 = 235171959193
BaseRepresentation
bin1101001001110…
…10011110111110
321200121212001210
412210322132332
5211221340110
614540545250
72506606023
oct644723676
9250555053
10110340030
1157314109
1230b52226
1319b24078
141092354a
159a48520
hex693a7be

110340030 has 128 divisors (see below), whose sum is σ = 301708800. Its totient is φ = 25657344.

The previous prime is 110340017. The next prime is 110340059. The reversal of 110340030 is 30043011.

It is a junction number, because it is equal to n+sod(n) for n = 110339988 and 110340015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571614 + ... + 571806.

It is an arithmetic number, because the mean of its divisors is an integer number (2357100).

Almost surely, 2110340030 is an apocalyptic number.

110340030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150854400).

110340030 is an abundant number, since it is smaller than the sum of its proper divisors (191368770).

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

110340030 is a wasteful number, since it uses less digits than its factorization.

110340030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 110340030 is about 10504.2862679956. The cubic root of 110340030 is about 479.6351828656.

Adding to 110340030 its reverse (30043011), we get a palindrome (140383041).

The spelling of 110340030 in words is "one hundred ten million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 59 85 95 102 114 118 170 177 190 193 255 285 295 323 354 386 510 570 579 590 646 885 965 969 1003 1121 1158 1615 1770 1930 1938 2006 2242 2895 3009 3230 3281 3363 3667 4845 5015 5605 5790 6018 6562 6726 7334 9690 9843 10030 11001 11210 11387 15045 16405 16815 18335 19057 19686 22002 22774 30090 32810 33630 34161 36670 38114 49215 55005 56935 57171 62339 68322 95285 98430 110010 113870 114342 124678 170805 187017 190570 193579 216353 285855 311695 341610 374034 387158 432706 571710 580737 623390 649059 935085 967895 1081765 1161474 1298118 1870170 1935790 2163530 2903685 3245295 3678001 5807370 6490590 7356002 11034003 18390005 22068006 36780010 55170015 110340030