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343345152 = 2113294147
BaseRepresentation
bin10100011101110…
…000100000000000
3212221001202000010
4110131300200000
51200344021102
654023024520
711336246163
oct2435604000
9787052003
10343345152
1116689a327
1296b9b140
1356196117
1433857ada
1520221d6c
hex14770800

343345152 has 192 divisors, whose sum is σ = 990662400. Its totient is φ = 105512960.

The previous prime is 343345133. The next prime is 343345169. The reversal of 343345152 is 251543343.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7305193 + ... + 7305239.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2343345152 is an apocalyptic number.

343345152 is a gapful number since it is divisible by the number (32) 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 343345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

343345152 is an abundant number, since it is smaller than the sum of its proper divisors (647317248).

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

343345152 is a wasteful number, since it uses less digits than its factorization.

343345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 343345152 is about 18529.5750625858. The cubic root of 343345152 is about 700.2347185661.

Adding to 343345152 its reverse (251543343), we get a palindrome (594888495).

The spelling of 343345152 in words is "three hundred forty-three million, three hundred forty-five thousand, one hundred fifty-two".