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114153324 = 223231932143
BaseRepresentation
bin1101100110111…
…01011101101100
321221210120220220
412303131131230
5213210401244
615154411340
72554200345
oct663353554
9257716826
10114153324
115948909a
1232290b50
131a85a95c
14112370cc
15a04d319
hex6cdd76c

114153324 has 48 divisors (see below), whose sum is σ = 279508992. Its totient is φ = 36191232.

The previous prime is 114153323. The next prime is 114153343. The reversal of 114153324 is 423351411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114153294 and 114153303.

It is not an unprimeable number, because it can be changed into a prime (114153323) by changing a digit.

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, 52197 + ... + 54339.

It is an arithmetic number, because the mean of its divisors is an integer number (5823104).

Almost surely, 2114153324 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 114153324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139754496).

114153324 is an abundant number, since it is smaller than the sum of its proper divisors (165355668).

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

114153324 is a wasteful number, since it uses less digits than its factorization.

114153324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2364 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 114153324 is about 10684.2558936034. The cubic root of 114153324 is about 485.0980409021.

The spelling of 114153324 in words is "one hundred fourteen million, one hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 193 276 386 579 772 1158 2143 2316 4286 4439 6429 8572 8878 12858 13317 17756 25716 26634 49289 53268 98578 147867 197156 295734 413599 591468 827198 1240797 1654396 2481594 4963188 9512777 19025554 28538331 38051108 57076662 114153324