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234114300 = 22345274129
BaseRepresentation
bin11011111010001…
…00110011111100
3121022112020110000
431331010303330
5434413124200
635121514300
75541636660
oct1575046374
9538466400
10234114300
111101735a2
12664a2990
133966cb94
14231428a0
1515847300
hexdf44cfc

234114300 has 180 divisors, whose sum is σ = 867531280. Its totient is φ = 53498880.

The previous prime is 234114299. The next prime is 234114323. The reversal of 234114300 is 3411432.

234114300 is a `hidden beast` number, since 234 + 1 + 1 + 430 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54636 + ... + 58764.

Almost surely, 2234114300 is an apocalyptic number.

234114300 is a gapful number since it is divisible by the number (20) 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 234114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433765640).

234114300 is an abundant number, since it is smaller than the sum of its proper divisors (633416980).

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

234114300 is a wasteful number, since it uses less digits than its factorization.

234114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234114300 is about 15300.7940970395. The cubic root of 234114300 is about 616.3243323530.

Adding to 234114300 its reverse (3411432), we get a palindrome (237525732).

It can be divided in two parts, 2341 and 14300, that added together give a square (16641 = 1292).

The spelling of 234114300 in words is "two hundred thirty-four million, one hundred fourteen thousand, three hundred".