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344063424 = 26329611013
BaseRepresentation
bin10100100000011…
…111110111000000
3212222102020021210
4110200133313000
51201040012144
654050250120
711345330235
oct2440376700
9788366253
10344063424
1116723aa41
1297286940
1356388033
14339a378c
1520314ab9
hex1481fdc0

344063424 has 112 divisors (see below), whose sum is σ = 958108320. Its totient is φ = 108810240.

The previous prime is 344063413. The next prime is 344063437. The reversal of 344063424 is 424360443.

It is a junction number, because it is equal to n+sod(n) for n = 344063391 and 344063400.

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 15 ways as a sum of consecutive naturals, for example, 339142 + ... + 340154.

Almost surely, 2344063424 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 344063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479054160).

344063424 is an abundant number, since it is smaller than the sum of its proper divisors (614044896).

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

344063424 is a wasteful number, since it uses less digits than its factorization.

344063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 344063424 is about 18548.9467086409. The cubic root of 344063424 is about 700.7226713533.

The spelling of 344063424 in words is "three hundred forty-four million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 174 183 192 232 244 348 366 464 488 696 732 928 976 1013 1392 1464 1769 1856 1952 2026 2784 2928 3039 3538 3904 4052 5307 5568 5856 6078 7076 8104 10614 11712 12156 14152 16208 21228 24312 28304 29377 32416 42456 48624 56608 58754 61793 64832 84912 88131 97248 113216 117508 123586 169824 176262 185379 194496 235016 247172 339648 352524 370758 470032 494344 705048 741516 940064 988688 1410096 1483032 1791997 1880128 1977376 2820192 2966064 3583994 3954752 5375991 5640384 5932128 7167988 10751982 11864256 14335976 21503964 28671952 43007928 57343904 86015856 114687808 172031712 344063424