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114455430 = 2355193767
BaseRepresentation
bin1101101001001…
…11001110000110
321222100221100000
412310213032012
5213300033210
615205102130
72556566205
oct664471606
9258327300
10114455430
1159675071
12323b7946
131a93530b
14112b523c
15a0acac0
hex6d27386

114455430 has 192 divisors, whose sum is σ = 338607360. Its totient is φ = 27713664.

The previous prime is 114455401. The next prime is 114455491. The reversal of 114455430 is 34554411.

It is a happy number.

114455430 is a `hidden beast` number, since 114 + 4 + 5 + 543 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114455394 and 114455403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1708257 + ... + 1708323.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2114455430 is an apocalyptic number.

114455430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114455430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

114455430 is an abundant number, since it is smaller than the sum of its proper divisors (224151930).

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

114455430 is a wasteful number, since it uses less digits than its factorization.

114455430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 114455430 is about 10698.3844574777. The cubic root of 114455430 is about 485.5256001743.

The spelling of 114455430 in words is "one hundred fourteen million, four hundred fifty-five thousand, four hundred thirty".