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110034414 = 23271495861
BaseRepresentation
bin1101000111011…
…11110111101110
321200001022211200
412203233313232
5211132100124
614530230330
72504164020
oct643576756
9250038750
10110034414
1157125536
1230a253a6
1319a47c29
1410884010
1599d7bc9
hex68efdee

110034414 has 48 divisors (see below), whose sum is σ = 274341600. Its totient is φ = 31222080.

The previous prime is 110034403. The next prime is 110034437. The reversal of 110034414 is 414430011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15844 + ... + 21704.

It is an arithmetic number, because the mean of its divisors is an integer number (5715450).

Almost surely, 2110034414 is an apocalyptic number.

110034414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110034414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137170800).

110034414 is an abundant number, since it is smaller than the sum of its proper divisors (164307186).

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

110034414 is a wasteful number, since it uses less digits than its factorization.

110034414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6022 counting only the distinct ones).

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

The square root of 110034414 is about 10489.7289764798. The cubic root of 110034414 is about 479.1919477457.

Adding to 110034414 its reverse (414430011), we get a palindrome (524464425).

The spelling of 110034414 in words is "one hundred ten million, thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 5861 6258 9387 11722 17583 18774 35166 41027 52749 82054 105498 123081 246162 369243 738486 873289 1746578 2619867 5239734 6113023 7859601 12226046 15719202 18339069 36678138 55017207 110034414