Search a number
-
+
34644343235304 = 233111311171855461
BaseRepresentation
bin1111110000010010000111…
…10001011010001011101000
311112122222002211212021011210
413320021003301122023220
514020103103332012204
6201403220324553120
710203654056465625
oct770110361321350
9145588084767153
1034644343235304
1110047646642220
123a763805527a0
131643c419c424a
1487ab1bcbb34c
154012a3a5d389
hex1f8243c5a2e8

34644343235304 has 128 divisors (see below), whose sum is σ = 95287243138560. Its totient is φ = 10409237280000.

The previous prime is 34644343235269. The next prime is 34644343235329. The reversal of 34644343235304 is 40353234344643.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40070134 + ... + 40925594.

It is an arithmetic number, because the mean of its divisors is an integer number (744431587020).

Almost surely, 234644343235304 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 34644343235304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47643621569280).

34644343235304 is an abundant number, since it is smaller than the sum of its proper divisors (60642899903256).

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

34644343235304 is a wasteful number, since it uses less digits than its factorization.

34644343235304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856783 (or 856779 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 48.

Adding to 34644343235304 its reverse (40353234344643), we get a palindrome (74997577579947).

The spelling of 34644343235304 in words is "thirty-four trillion, six hundred forty-four billion, three hundred forty-three million, two hundred thirty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1171 1441 1572 2342 2882 3144 3513 4323 4684 5764 7026 8646 9368 11528 12881 14052 17292 25762 28104 34584 38643 51524 77286 103048 153401 154572 306802 309144 460203 613604 855461 920406 1227208 1687411 1710922 1840812 2566383 3374822 3421844 3681624 5062233 5132766 6749644 6843688 9410071 10124466 10265532 13499288 18820142 20248932 20531064 28230213 37640284 40497864 56460426 75280568 112065391 112920852 224130782 225841704 336196173 448261564 672392346 896523128 1001744831 1232719301 1344784692 2003489662 2465438602 2689569384 3005234493 3698157903 4006979324 4930877204 6010468986 7396315806 8013958648 9861754408 11019193141 12020937972 14792631612 22038386282 24041875944 29585263224 33057579423 44076772564 66115158846 88153545128 131228572861 132230317692 262457145722 264460635384 393685718583 524914291444 787371437166 1049828582888 1443514301471 1574742874332 2887028602942 3149485748664 4330542904413 5774057205884 8661085808826 11548114411768 17322171617652 34644343235304