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234346219380 = 2232571322359811
BaseRepresentation
bin1101101001000000011…
…1111000011101110100
3211101212222202102000200
43122100013320131310
512314420113010010
6255353540440500
722634213666250
oct3322007703564
9741788672020
10234346219380
1190427371179
12395020a9130
1319138c67100
14b4b1845260
156168911cc0
hex36901f8774

234346219380 has 864 divisors, whose sum is σ = 934656952320. Its totient is φ = 46435783680.

The previous prime is 234346219363. The next prime is 234346219399. The reversal of 234346219380 is 83912643432.

234346219380 is a `hidden beast` number, since 2 + 343 + 46 + 2 + 193 + 80 = 666.

234346219380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 288959175 + ... + 288959985.

It is an arithmetic number, because the mean of its divisors is an integer number (1081778880).

Almost surely, 2234346219380 is an apocalyptic number.

234346219380 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 234346219380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467328476160).

234346219380 is an abundant number, since it is smaller than the sum of its proper divisors (700310732940).

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

234346219380 is a wasteful number, since it uses less digits than its factorization.

234346219380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 234346219380 in words is "two hundred thirty-four billion, three hundred forty-six million, two hundred nineteen thousand, three hundred eighty".