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234282712320 = 28325471034201
BaseRepresentation
bin1101101000110001010…
…1100111110100000000
3211101201120020220201100
43122030111213310000
512314302333243240
6255343351334400
722632513124416
oct3321425476400
9741646226640
10234282712320
11903a45353a8
12394a4981400
1319128a5ca77
14b4a72332b6
156163069e30
hex368c567d00

234282712320 has 432 divisors, whose sum is σ = 836076713472. Its totient is φ = 60538060800.

The previous prime is 234282712297. The next prime is 234282712343. The reversal of 234282712320 is 23217282432.

234282712320 is a `hidden beast` number, since 2 + 342 + 8 + 271 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (234282712297) and next prime (234282712343).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 55766220 + ... + 55770420.

Almost surely, 2234282712320 is an apocalyptic number.

234282712320 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 234282712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418038356736).

234282712320 is an abundant number, since it is smaller than the sum of its proper divisors (601794001152).

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

234282712320 is a wasteful number, since it uses less digits than its factorization.

234282712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 234282712320 its reverse (23217282432), we get a palindrome (257499994752).

The spelling of 234282712320 in words is "two hundred thirty-four billion, two hundred eighty-two million, seven hundred twelve thousand, three hundred twenty".