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343046144 = 211723929
BaseRepresentation
bin10100011100100…
…111100000000000
3212220111112211202
4110130213200000
51200304434034
654012400332
711333562350
oct2434474000
9786445752
10343046144
11166705711
1296a760a8
13560bccac
14337bab60
15201b347e
hex14727800

343046144 has 48 divisors (see below), whose sum is σ = 783946800. Its totient is φ = 147013632.

The previous prime is 343046107. The next prime is 343046153. The reversal of 343046144 is 441640343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2372 + ... + 26300.

It is an arithmetic number, because the mean of its divisors is an integer number (16332225).

Almost surely, 2343046144 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 343046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391973400).

343046144 is an abundant number, since it is smaller than the sum of its proper divisors (440900656).

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

343046144 is an equidigital number, since it uses as much as digits as its factorization.

343046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23958 (or 23938 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 343046144 is about 18521.5049064594. The cubic root of 343046144 is about 700.0313890686.

Adding to 343046144 its reverse (441640343), we get a palindrome (784686487).

The spelling of 343046144 in words is "three hundred forty-three million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 23929 47858 95716 167503 191432 335006 382864 670012 765728 1340024 1531456 2680048 3062912 5360096 6125824 10720192 12251648 21440384 24503296 42880768 49006592 85761536 171523072 343046144