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343334144 = 281499001
BaseRepresentation
bin10100011101101…
…101110100000000
3212221001011220102
4110131231310000
51200343143034
654022501532
711336202116
oct2435556400
9787034812
10343334144
1116689202a
1296b948a8
13561910ca
1433853ab6
152021d97e
hex1476dd00

343334144 has 36 divisors (see below), whose sum is σ = 690003300. Its totient is φ = 170496000.

The previous prime is 343334093. The next prime is 343334153. The reversal of 343334144 is 441433343.

It can be written as a sum of positive squares in 2 ways, for example, as 50239744 + 293094400 = 7088^2 + 17120^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 33644 + ... + 42644.

Almost surely, 2343334144 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 343334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345001650).

343334144 is an abundant number, since it is smaller than the sum of its proper divisors (346669156).

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

343334144 is an equidigital number, since it uses as much as digits as its factorization.

343334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9152 counting only the distinct ones).

The product of its digits is 20736, while the sum is 29.

The square root of 343334144 is about 18529.2780215528. The cubic root of 343334144 is about 700.2272350702.

Adding to 343334144 its reverse (441433343), we get a palindrome (784767487).

The spelling of 343334144 in words is "three hundred forty-three million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 596 1192 2384 4768 9001 9536 18002 19072 36004 38144 72008 144016 288032 576064 1152128 1341149 2304256 2682298 5364596 10729192 21458384 42916768 85833536 171667072 343334144