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344022016 = 2101343601
BaseRepresentation
bin10100100000010…
…101110000000000
3212222100010111011
4110200111300000
51201032201031
654045330304
711345065432
oct2440256000
9788303434
10344022016
11167211918
1297266994
1356372230
1433992652
15203076b1
hex14815c00

344022016 has 88 divisors (see below), whose sum is σ = 759093104. Its totient is φ = 154828800.

The previous prime is 344022001. The next prime is 344022023. The reversal of 344022016 is 610220443.

It is a happy number.

It is a super-2 number, since 2×3440220162 = 236702294985408512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572116 + ... + 572716.

It is an arithmetic number, because the mean of its divisors is an integer number (8626058).

Almost surely, 2344022016 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 344022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379546552).

344022016 is an abundant number, since it is smaller than the sum of its proper divisors (415071088).

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

344022016 is a wasteful number, since it uses less digits than its factorization.

344022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 344022016 is about 18547.8304930792. The cubic root of 344022016 is about 700.6945595902.

Adding to 344022016 its reverse (610220443), we get a palindrome (954242459).

The spelling of 344022016 in words is "three hundred forty-four million, twenty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 601 688 832 1024 1118 1202 1376 1664 2236 2404 2752 3328 4472 4808 5504 6656 7813 8944 9616 11008 13312 15626 17888 19232 22016 25843 31252 35776 38464 44032 51686 62504 71552 76928 103372 125008 143104 153856 206744 250016 286208 307712 335959 413488 500032 572416 615424 671918 826976 1000064 1343836 1653952 2000128 2687672 3307904 4000256 5375344 6615808 8000512 10750688 13231616 21501376 26463232 43002752 86005504 172011008 344022016