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114234435 = 335732467
BaseRepresentation
bin1101100111100…
…01010001000011
321221221201012000
412303301101003
5213221000220
615200235043
72554656000
oct663612103
9257851160
10114234435
1159534027
123230ba83
131a888853
14112588a7
15a067390
hex6cf1443

114234435 has 64 divisors (see below), whose sum is σ = 236928000. Its totient is φ = 52200288.

The previous prime is 114234433. The next prime is 114234467. The reversal of 114234435 is 534432411.

It is a happy number.

It is not a de Polignac number, because 114234435 - 21 = 114234433 is a prime.

It is a super-2 number, since 2×1142344352 = 26099012279538450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114234399 and 114234408.

It is not an unprimeable number, because it can be changed into a prime (114234431) 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 63 ways as a sum of consecutive naturals, for example, 45072 + ... + 47538.

It is an arithmetic number, because the mean of its divisors is an integer number (3702000).

Almost surely, 2114234435 is an apocalyptic number.

114234435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114234435 is an abundant number, since it is smaller than the sum of its proper divisors (122693565).

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

114234435 is an equidigital number, since it uses as much as digits as its factorization.

114234435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2482 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 114234435 is about 10688.0510384260. The cubic root of 114234435 is about 485.2129082585.

Adding to 114234435 its reverse (534432411), we get a palindrome (648666846).

The spelling of 114234435 in words is "one hundred fourteen million, two hundred thirty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 343 441 735 945 1029 1323 1715 2205 2467 3087 5145 6615 7401 9261 12335 15435 17269 22203 37005 46305 51807 66609 86345 111015 120883 155421 259035 333045 362649 466263 604415 777105 846181 1087947 1813245 2331315 2538543 3263841 4230905 5439735 7615629 12692715 16319205 22846887 38078145 114234435