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114410340 = 2233511217103
BaseRepresentation
bin1101101000111…
…00001101100100
321222021122111000
412310130031210
5213242112330
615204113300
72556320562
oct664341544
9258248430
10114410340
1159644200
1232395830
131a91a935
14112a2a32
15a09e560
hex6d1c364

114410340 has 288 divisors, whose sum is σ = 418279680. Its totient is φ = 25850880.

The previous prime is 114410321. The next prime is 114410341. The reversal of 114410340 is 43014411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114410341) 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 95 ways as a sum of consecutive naturals, for example, 1110729 + ... + 1110831.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2114410340 is an apocalyptic number.

114410340 is a gapful number since it is divisible by the number (10) 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 114410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

114410340 is an abundant number, since it is smaller than the sum of its proper divisors (303869340).

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

114410340 is a wasteful number, since it uses less digits than its factorization.

114410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

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

The square root of 114410340 is about 10696.2769223688. The cubic root of 114410340 is about 485.4618337958.

Adding to 114410340 its reverse (43014411), we get a palindrome (157424751).

The spelling of 114410340 in words is "one hundred fourteen million, four hundred ten thousand, three hundred forty".