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234590720 = 2957131953
BaseRepresentation
bin11011111101110…
…01001000000000
3121100102102222012
431332321020000
5440023400340
635140032052
75545662650
oct1576711000
9540372865
10234590720
11110469531
1266692628
13397a89a0
1423228360
15158dd565
hexdfb9200

234590720 has 320 divisors, whose sum is σ = 742452480. Its totient is φ = 69009408.

The previous prime is 234590711. The next prime is 234590723. The reversal of 234590720 is 27095432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (234590723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4426214 + ... + 4426266.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2234590720 is an apocalyptic number.

234590720 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 234590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

234590720 is an abundant number, since it is smaller than the sum of its proper divisors (507861760).

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

234590720 is a wasteful number, since it uses less digits than its factorization.

234590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 234590720 is about 15316.3546576854. The cubic root of 234590720 is about 616.7421201400.

The spelling of 234590720 in words is "two hundred thirty-four million, five hundred ninety thousand, seven hundred twenty".