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234420999960 = 23357245838699
BaseRepresentation
bin1101101001010010010…
…1001001011100011000
3211102002012110122200210
43122110211021130120
512320043233444320
6255405211331120
722636112423400
oct3322445113430
9742065418623
10234420999960
11904655a7a04
1239523150aa0
131914b5ba884
14b4bb74d800
1561702840e0
hex3694949718

234420999960 has 192 divisors, whose sum is σ = 818354016000. Its totient is φ = 53564093184.

The previous prime is 234420999959. The next prime is 234420999961. The reversal of 234420999960 is 69999024432.

It is a happy number.

234420999960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234420999959) and next prime (234420999961).

It is a self number, because there is not a number n which added to its sum of digits gives 234420999960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234420999961) 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 47 ways as a sum of consecutive naturals, for example, 26943691 + ... + 26952389.

It is an arithmetic number, because the mean of its divisors is an integer number (4262260500).

Almost surely, 2234420999960 is an apocalyptic number.

234420999960 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 234420999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409177008000).

234420999960 is an abundant number, since it is smaller than the sum of its proper divisors (583933016040).

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

234420999960 is a wasteful number, since it uses less digits than its factorization.

234420999960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310 (or 13299 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 57.

The spelling of 234420999960 in words is "two hundred thirty-four billion, four hundred twenty million, nine hundred ninety-nine thousand, nine hundred sixty".