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343213344 = 25322834211
BaseRepresentation
bin10100011101010…
…000010100100000
3212220211001012100
4110131100110200
51200330311334
654020130400
711335156665
oct2435202440
9786731170
10343213344
1116680a2a1
1296b36a00
135614b126
1433821a6c
15201e7c99
hex14750520

343213344 has 72 divisors (see below), whose sum is σ = 979694352. Its totient is φ = 113973120.

The previous prime is 343213333. The next prime is 343213349. The reversal of 343213344 is 443312343.

343213344 is a `hidden beast` number, since 3 + 4 + 321 + 334 + 4 = 666.

343213344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (343213349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79399 + ... + 83609.

It is an arithmetic number, because the mean of its divisors is an integer number (13606866).

Almost surely, 2343213344 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 343213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489847176).

343213344 is an abundant number, since it is smaller than the sum of its proper divisors (636481008).

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

343213344 is a wasteful number, since it uses less digits than its factorization.

343213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4499 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 343213344 is about 18526.0180287076. The cubic root of 343213344 is about 700.1451018928.

Adding to 343213344 its reverse (443312343), we get a palindrome (786525687).

The spelling of 343213344 in words is "three hundred forty-three million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 566 849 1132 1698 2264 2547 3396 4211 4528 5094 6792 8422 9056 10188 12633 13584 16844 20376 25266 27168 33688 37899 40752 50532 67376 75798 81504 101064 134752 151596 202128 303192 404256 606384 1191713 1212768 2383426 3575139 4766852 7150278 9533704 10725417 14300556 19067408 21450834 28601112 38134816 42901668 57202224 85803336 114404448 171606672 343213344