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114345 = 3357112
BaseRepresentation
bin11011111010101001
312210212000
4123322221
512124340
62241213
7654240
oct337251
9183760
10114345
1178a00
1256209
134007a
142d957
1523d30
hex1bea9

114345 has 48 divisors (see below), whose sum is σ = 255360. Its totient is φ = 47520.

The previous prime is 114343. The next prime is 114371. The reversal of 114345 is 543411.

114345 = T35 + T36 + ... + T89.

It is a happy number.

It is not a de Polignac number, because 114345 - 21 = 114343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114343) 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 47 ways as a sum of consecutive naturals, for example, 10390 + ... + 10400.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2114345 is an apocalyptic number.

114345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114345 is an abundant number, since it is smaller than the sum of its proper divisors (141015).

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

114345 is a wasteful number, since it uses less digits than its factorization.

114345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 26 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 114345 is about 338.1493752767. The cubic root of 114345 is about 48.5369400086.

Adding to 114345 its reverse (543411), we get a palindrome (657756).

It can be divided in two parts, 11 and 4345, that added together give a square (4356 = 662).

The spelling of 114345 in words is "one hundred fourteen thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 121 135 165 189 231 297 315 363 385 495 605 693 847 945 1089 1155 1485 1815 2079 2541 3267 3465 4235 5445 7623 10395 12705 16335 22869 38115 114345