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114034400 = 2552142543
BaseRepresentation
bin1101100110000…
…00011011100000
321221120112210022
412303000123200
5213143100100
615152053012
72553163544
oct663003340
9257515708
10114034400
1159407807
1232234168
131a81879c
1411205a24
15a027e85
hex6cc06e0

114034400 has 36 divisors (see below), whose sum is σ = 278388432. Its totient is φ = 45613440.

The previous prime is 114034381. The next prime is 114034439. The reversal of 114034400 is 4430411.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 70472 + ... + 72071.

It is an arithmetic number, because the mean of its divisors is an integer number (7733012).

Almost surely, 2114034400 is an apocalyptic number.

114034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114034400 is an abundant number, since it is smaller than the sum of its proper divisors (164354032).

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

114034400 is a wasteful number, since it uses less digits than its factorization.

114034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142563 (or 142550 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 114034400 is about 10678.6890581194. The cubic root of 114034400 is about 484.9295253110.

Adding to 114034400 its reverse (4430411), we get a palindrome (118464811).

The spelling of 114034400 in words is "one hundred fourteen million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 142543 285086 570172 712715 1140344 1425430 2280688 2850860 3563575 4561376 5701720 7127150 11403440 14254300 22806880 28508600 57017200 114034400