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114342304 = 2519613083
BaseRepresentation
bin1101101000010…
…11100110100000
321222011012011011
412310023212200
5213232423204
615202430304
72555615326
oct664134640
9258135134
10114342304
11595a807a
1232362394
131a8c598b
1411285d16
15a089304
hex6d0b9a0

114342304 has 48 divisors (see below), whose sum is σ = 240922080. Its totient is φ = 53256960.

The previous prime is 114342281. The next prime is 114342313. The reversal of 114342304 is 403243411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35547 + ... + 38629.

It is an arithmetic number, because the mean of its divisors is an integer number (5019210).

Almost surely, 2114342304 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 114342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120461040).

114342304 is an abundant number, since it is smaller than the sum of its proper divisors (126579776).

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

114342304 is a wasteful number, since it uses less digits than its factorization.

114342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 114342304 is about 10693.0960904688. The cubic root of 114342304 is about 485.3655854132.

Adding to 114342304 its reverse (403243411), we get a palindrome (517585715).

The spelling of 114342304 in words is "one hundred fourteen million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 304 488 608 976 1159 1952 2318 3083 4636 6166 9272 12332 18544 24664 37088 49328 58577 98656 117154 188063 234308 376126 468616 752252 937232 1504504 1874464 3009008 3573197 6018016 7146394 14292788 28585576 57171152 114342304