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114341000 = 23531091049
BaseRepresentation
bin1101101000010…
…11010010001000
321222011010100212
412310023102020
5213232403000
615202420252
72555611454
oct664132210
9258133325
10114341000
11595a70a4
1232361688
131a8c51c7
1411285664
15a088c35
hex6d0b488

114341000 has 64 divisors (see below), whose sum is σ = 270270000. Its totient is φ = 45273600.

The previous prime is 114340979. The next prime is 114341009. The reversal of 114341000 is 143411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28111204 + 86229796 = 5302^2 + 9286^2 .

It is not an unprimeable number, because it can be changed into a prime (114341009) 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 15 ways as a sum of consecutive naturals, for example, 108476 + ... + 109524.

Almost surely, 2114341000 is an apocalyptic number.

114341000 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 114341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135135000).

114341000 is an abundant number, since it is smaller than the sum of its proper divisors (155929000).

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

114341000 is a wasteful number, since it uses less digits than its factorization.

114341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114341000 is about 10693.0351163736. The cubic root of 114341000 is about 485.3637403127.

Adding to 114341000 its reverse (143411), we get a palindrome (114484411).

The spelling of 114341000 in words is "one hundred fourteen million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1049 1090 2098 2180 2725 4196 4360 5245 5450 8392 10490 10900 13625 20980 21800 26225 27250 41960 52450 54500 104900 109000 114341 131125 209800 228682 262250 457364 524500 571705 914728 1049000 1143410 2286820 2858525 4573640 5717050 11434100 14292625 22868200 28585250 57170500 114341000