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344134512 = 24325367673
BaseRepresentation
bin10100100000110…
…001001101110000
3212222112211210200
4110200301031300
51201044301022
654051555200
711346044421
oct2440611560
9788484720
10344134512
11167289397
12972bbb00
13563b14b7
14339c1648
152032abac
hex14831370

344134512 has 120 divisors (see below), whose sum is σ = 997395984. Its totient is φ = 110702592.

The previous prime is 344134501. The next prime is 344134543. The reversal of 344134512 is 215431443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511008 + ... + 511680.

Almost surely, 2344134512 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 344134512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498697992).

344134512 is an abundant number, since it is smaller than the sum of its proper divisors (653261472).

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

344134512 is a wasteful number, since it uses less digits than its factorization.

344134512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 344134512 is about 18550.8628370758. The cubic root of 344134512 is about 700.7709275173.

Adding to 344134512 its reverse (215431443), we get a palindrome (559565955).

The spelling of 344134512 in words is "three hundred forty-four million, one hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 67 72 106 134 144 159 201 212 268 318 402 424 477 536 603 636 673 804 848 954 1072 1206 1272 1346 1608 1908 2019 2412 2544 2692 3216 3551 3816 4038 4824 5384 6057 7102 7632 8076 9648 10653 10768 12114 14204 16152 21306 24228 28408 31959 32304 35669 42612 45091 48456 56816 63918 71338 85224 90182 96912 107007 127836 135273 142676 170448 180364 214014 255672 270546 285352 321021 360728 405819 428028 511344 541092 570704 642042 721456 811638 856056 1082184 1284084 1623276 1712112 2164368 2389823 2568168 3246552 4779646 5136336 6493104 7169469 9559292 14338938 19118584 21508407 28677876 38237168 43016814 57355752 86033628 114711504 172067256 344134512