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114331400 = 2352571657
BaseRepresentation
bin1101101000010…
…00111100001000
321222010122012022
412310020330020
5213232101100
615202304012
72555541461
oct664107410
9258118168
10114331400
115959a967
1232358008
131a8c0a21
1411281d68
15a085e85
hex6d08f08

114331400 has 24 divisors (see below), whose sum is σ = 265820970. Its totient is φ = 45732480.

The previous prime is 114331387. The next prime is 114331403. The reversal of 114331400 is 4133411.

It can be written as a sum of positive squares in 3 ways, for example, as 111555844 + 2775556 = 10562^2 + 1666^2 .

It is not an unprimeable number, because it can be changed into a prime (114331403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285629 + ... + 286028.

Almost surely, 2114331400 is an apocalyptic number.

114331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114331400 is an abundant number, since it is smaller than the sum of its proper divisors (151489570).

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

114331400 is a wasteful number, since it uses less digits than its factorization.

114331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571673 (or 571664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 114331400 is about 10692.5862166269. The cubic root of 114331400 is about 485.3501563189.

Adding to 114331400 its reverse (4133411), we get a palindrome (118464811).

The spelling of 114331400 in words is "one hundred fourteen million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 571657 1143314 2286628 2858285 4573256 5716570 11433140 14291425 22866280 28582850 57165700 114331400