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114334128 = 24321914157
BaseRepresentation
bin1101101000010…
…01100110110000
321222010202221100
412310021212300
5213232143003
615202324400
72555552436
oct664114660
9258122840
10114334128
11595a1a17
1232359700
131a8c203c
1411282d56
15a086ba3
hex6d099b0

114334128 has 60 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 37902720.

The previous prime is 114334111. The next prime is 114334139. The reversal of 114334128 is 821433411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25426 + ... + 29582.

Almost surely, 2114334128 is an apocalyptic number.

114334128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114334128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

114334128 is an abundant number, since it is smaller than the sum of its proper divisors (207395280).

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

114334128 is a wasteful number, since it uses less digits than its factorization.

114334128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4353 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 114334128 is about 10692.7137808884. The cubic root of 114334128 is about 485.3540165145.

Adding to 114334128 its reverse (821433411), we get a palindrome (935767539).

The spelling of 114334128 in words is "one hundred fourteen million, three hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 4157 4584 6876 8314 9168 12471 13752 16628 24942 27504 33256 37413 49884 66512 74826 99768 149652 199536 299304 598608 793987 1587974 2381961 3175948 4763922 6351896 7145883 9527844 12703792 14291766 19055688 28583532 38111376 57167064 114334128