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343353744 = 24322384401
BaseRepresentation
bin10100011101110…
…010100110010000
3212221002011210100
4110131302212100
51200344304434
654023132400
711336313216
oct2435624620
9787064710
10343353744
111668a5828
1296ba4100
1356199cc6
143385acb6
1520224699
hex14772990

343353744 has 30 divisors (see below), whose sum is σ = 960914006. Its totient is φ = 114451200.

The previous prime is 343353733. The next prime is 343353749. The reversal of 343353744 is 447353343.

343353744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 256640400 + 86713344 = 16020^2 + 9312^2 .

It is a super-4 number, since 4×3433537444 (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 343353699 and 343353708.

It is not an unprimeable number, because it can be changed into a prime (343353749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1192057 + ... + 1192344.

Almost surely, 2343353744 is an apocalyptic number.

It is an amenable number.

343353744 is an abundant number, since it is smaller than the sum of its proper divisors (617560262).

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

343353744 is a wasteful number, since it uses less digits than its factorization.

343353744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384415 (or 2384406 counting only the distinct ones).

The product of its digits is 181440, while the sum is 36.

The square root of 343353744 is about 18529.8069067111. The cubic root of 343353744 is about 700.2405594976.

The spelling of 343353744 in words is "three hundred forty-three million, three hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2384401 4768802 7153203 9537604 14306406 19075208 21459609 28612812 38150416 42919218 57225624 85838436 114451248 171676872 343353744