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114524328 = 23361137571
BaseRepresentation
bin1101101001110…
…00000010101000
321222111102211210
412310320002220
5213304234303
615210353120
72560304112
oct664700250
9258442753
10114524328
1159711906
123242b7a0
131a95a799
14112d23b2
15a0c3203
hex6d380a8

114524328 has 64 divisors (see below), whose sum is σ = 293641920. Its totient is φ = 37209600.

The previous prime is 114524327. The next prime is 114524353. The reversal of 114524328 is 823425411.

It is a junction number, because it is equal to n+sod(n) for n = 114524295 and 114524304.

It is not an unprimeable number, because it can be changed into a prime (114524321) 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, 200283 + ... + 200853.

It is an arithmetic number, because the mean of its divisors is an integer number (4588155).

Almost surely, 2114524328 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 114524328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146820960).

114524328 is an abundant number, since it is smaller than the sum of its proper divisors (179117592).

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

114524328 is a wasteful number, since it uses less digits than its factorization.

114524328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 774 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 114524328 is about 10701.6039919257. The cubic root of 114524328 is about 485.6230035414.

Adding to 114524328 its reverse (823425411), we get a palindrome (937949739).

The spelling of 114524328 in words is "one hundred fourteen million, five hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 137 183 244 274 366 411 488 548 571 732 822 1096 1142 1464 1644 1713 2284 3288 3426 4568 6852 8357 13704 16714 25071 33428 34831 50142 66856 69662 78227 100284 104493 139324 156454 200568 208986 234681 278648 312908 417972 469362 625816 835944 938724 1877448 4771847 9543694 14315541 19087388 28631082 38174776 57262164 114524328