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234730320 = 243511259137
BaseRepresentation
bin11011111110110…
…11001101010000
3121100200112110120
431333123031100
5440042332240
635143030240
75550113646
oct1577331520
9540615416
10234730320
11110554400
126673b380
13398273a6
1423263196
1515919ad0
hexdfdb350

234730320 has 240 divisors, whose sum is σ = 819322560. Its totient is φ = 55531520.

The previous prime is 234730297. The next prime is 234730333. The reversal of 234730320 is 23037432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1713292 + ... + 1713428.

It is an arithmetic number, because the mean of its divisors is an integer number (3413844).

Almost surely, 2234730320 is an apocalyptic number.

234730320 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 234730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

234730320 is an abundant number, since it is smaller than the sum of its proper divisors (584592240).

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

234730320 is a wasteful number, since it uses less digits than its factorization.

234730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 234730320 is about 15320.9112000560. The cubic root of 234730320 is about 616.8644326330.

Adding to 234730320 its reverse (23037432), we get a palindrome (257767752).

The spelling of 234730320 in words is "two hundred thirty-four million, seven hundred thirty thousand, three hundred twenty".