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234364243050 = 2335274153101113
BaseRepresentation
bin1101101001000100110…
…0101000110001101010
3211101221020200002212000
43122101030220301222
512314434221234200
6255355423031430
722634523124350
oct3322114506152
9741836602760
10234364243050
1190436561673
123950813b576
131913c907ac2
14b4b3db77d0
15616a2c2300
hex3691328c6a

234364243050 has 768 divisors, whose sum is σ = 784839767040. Its totient is φ = 50319360000.

The previous prime is 234364243037. The next prime is 234364243051. The reversal of 234364243050 is 50342463432.

234364243050 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 642 + 4 + 3 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 234364242996 and 234364243014.

It is not an unprimeable number, because it can be changed into a prime (234364243051) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 2074019794 + ... + 2074019906.

It is an arithmetic number, because the mean of its divisors is an integer number (1021926780).

Almost surely, 2234364243050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234364243050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392419883520).

234364243050 is an abundant number, since it is smaller than the sum of its proper divisors (550475523990).

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

234364243050 is a wasteful number, since it uses less digits than its factorization.

234364243050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 234364243050 in words is "two hundred thirty-four billion, three hundred sixty-four million, two hundred forty-three thousand, fifty".