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234331120 = 24522912791
BaseRepresentation
bin11011111011110…
…01101111110000
3121022221020212101
431331321233300
5434442043440
635130310144
75543532052
oct1575715760
9538836771
10234331120
11110301491
1266588354
133971778a
142319b8d2
151588b69a
hexdf79bf0

234331120 has 40 divisors (see below), whose sum is σ = 547241760. Its totient is φ = 93315840.

The previous prime is 234331103. The next prime is 234331121. The reversal of 234331120 is 21133432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2343311202 = 109822147600908800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11925 + ... + 24715.

It is an arithmetic number, because the mean of its divisors is an integer number (13681044).

Almost surely, 2234331120 is an apocalyptic number.

234331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234331120 is an abundant number, since it is smaller than the sum of its proper divisors (312910640).

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

234331120 is a wasteful number, since it uses less digits than its factorization.

234331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 234331120 is about 15307.8777105123. The cubic root of 234331120 is about 616.5145388884.

Adding to 234331120 its reverse (21133432), we get a palindrome (255464552).

The spelling of 234331120 in words is "two hundred thirty-four million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 12791 18320 25582 51164 63955 102328 127910 204656 255820 511640 1023280 2929139 5858278 11716556 14645695 23433112 29291390 46866224 58582780 117165560 234331120