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114126324 = 223132393061
BaseRepresentation
bin1101100110101…
…10110111110100
321221202012212220
412303112313310
5213204020244
615154042340
72554025544
oct663266764
9257665786
10114126324
115946a884
12322793b0
131a84b590
141122b324
15a045319
hex6cd6df4

114126324 has 48 divisors (see below), whose sum is σ = 288072960. Its totient is φ = 34957440.

The previous prime is 114126317. The next prime is 114126347. The reversal of 114126324 is 423621411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114126294 and 114126303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35754 + ... + 38814.

It is an arithmetic number, because the mean of its divisors is an integer number (6001520).

Almost surely, 2114126324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114126324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144036480).

114126324 is an abundant number, since it is smaller than the sum of its proper divisors (173946636).

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

114126324 is a wasteful number, since it uses less digits than its factorization.

114126324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3318 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 114126324 is about 10682.9922774474. The cubic root of 114126324 is about 485.0597921111.

Adding to 114126324 its reverse (423621411), we get a palindrome (537747735).

The spelling of 114126324 in words is "one hundred fourteen million, one hundred twenty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 956 1434 2868 3061 3107 6122 6214 9183 9321 12244 12428 18366 18642 36732 37284 39793 79586 119379 159172 238758 477516 731579 1463158 2194737 2926316 4389474 8778948 9510527 19021054 28531581 38042108 57063162 114126324