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343620144 = 243473773
BaseRepresentation
bin10100011110110…
…011101000110000
3212221120201020000
4110132303220300
51200431321034
654032550000
711341503000
oct2436635060
9787521200
10343620144
11166a6799a
12970b2300
135626133a
14338ca000
1520278599
hex147b3a30

343620144 has 200 divisors, whose sum is σ = 1161309600. Its totient is φ = 98050176.

The previous prime is 343620143. The next prime is 343620197. The reversal of 343620144 is 441026343.

343620144 is a `hidden beast` number, since 34 + 3 + 620 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (343620143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444142 + ... + 444914.

It is an arithmetic number, because the mean of its divisors is an integer number (5806548).

Almost surely, 2343620144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343620144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580654800).

343620144 is an abundant number, since it is smaller than the sum of its proper divisors (817689456).

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

343620144 is an equidigital number, since it uses as much as digits as its factorization.

343620144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 343620144 is about 18536.9939310558. The cubic root of 343620144 is about 700.4216126768.

Adding to 343620144 its reverse (441026343), we get a palindrome (784646487).

The spelling of 343620144 in words is "three hundred forty-three million, six hundred twenty thousand, one hundred forty-four".