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343053360 = 243351319643
BaseRepresentation
bin10100011100101…
…001010000110000
3212220111220202000
4110130221100300
51200310201420
654012454000
711333622366
oct2434512060
9786456660
10343053360
11166710081
1296a7a300
13560c3370
14337bd636
15201b5690
hex14729430

343053360 has 320 divisors, whose sum is σ = 1341580800. Its totient is φ = 79875072.

The previous prime is 343053311. The next prime is 343053367. The reversal of 343053360 is 63350343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343053367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533199 + ... + 533841.

It is an arithmetic number, because the mean of its divisors is an integer number (4192440).

Almost surely, 2343053360 is an apocalyptic number.

343053360 is a gapful number since it is divisible by the number (30) 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 343053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670790400).

343053360 is an abundant number, since it is smaller than the sum of its proper divisors (998527440).

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

343053360 is a wasteful number, since it uses less digits than its factorization.

343053360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 343053360 is about 18521.6997060205. The cubic root of 343053360 is about 700.0362974375.

The spelling of 343053360 in words is "three hundred forty-three million, fifty-three thousand, three hundred sixty".