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114410034 = 23217894201
BaseRepresentation
bin1101101000111…
…00001000110010
321222021122001200
412310130020302
5213242110114
615204112030
72556316644
oct664341062
9258248050
10114410034
1159643a52
1232395616
131a91a75b
14112a2894
15a09e409
hex6d1c232

114410034 has 48 divisors (see below), whose sum is σ = 265482360. Its totient is φ = 35481600.

The previous prime is 114410033. The next prime is 114410041. The reversal of 114410034 is 430014411.

It can be written as a sum of positive squares in 4 ways, for example, as 68807025 + 45603009 = 8295^2 + 6753^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114409989 and 114410016.

It is not an unprimeable number, because it can be changed into a prime (114410033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25134 + ... + 29334.

Almost surely, 2114410034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114410034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132741180).

114410034 is an abundant number, since it is smaller than the sum of its proper divisors (151072326).

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

114410034 is a wasteful number, since it uses less digits than its factorization.

114410034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4312 counting only the distinct ones).

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

The square root of 114410034 is about 10696.2626183167. The cubic root of 114410034 is about 485.4614009927.

Adding to 114410034 its reverse (430014411), we get a palindrome (544424445).

The spelling of 114410034 in words is "one hundred fourteen million, four hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 3026 4201 4539 8402 9078 12603 13617 25206 27234 37809 71417 75618 142834 214251 373889 428502 642753 747778 1121667 1285506 2243334 3365001 6356113 6730002 12712226 19068339 38136678 57205017 114410034