Search a number
-
+
4234320000344 = 237712277516247
BaseRepresentation
bin111101100111100001001…
…000111011010101011000
3112222210112001010001012102
4331213201020323111120
51023333341410002334
613001115244502532
7614630253102140
oct75474110732530
915883461101172
104234320000344
111392846285015
1258478124aa48
132493aa4b2805
14108d294bb920
157522743d67e
hex3d9e123b558

4234320000344 has 128 divisors (see below), whose sum is σ = 9255661240320. Its totient is φ = 1778610960000.

The previous prime is 4234320000301. The next prime is 4234320000457. The reversal of 4234320000344 is 4430000234324.

It is a congruent 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, 677813429 + ... + 677819675.

It is an arithmetic number, because the mean of its divisors is an integer number (72309853440).

Almost surely, 24234320000344 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 4234320000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627830620160).

4234320000344 is an abundant number, since it is smaller than the sum of its proper divisors (5021341239976).

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

4234320000344 is a wasteful number, since it uses less digits than its factorization.

4234320000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7305 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 4234320000344 its reverse (4430000234324), we get a palindrome (8664320234668).

The spelling of 4234320000344 in words is "four trillion, two hundred thirty-four billion, three hundred twenty million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 71 142 227 284 454 497 568 751 908 994 1502 1589 1816 1988 3004 3178 3976 5257 6008 6247 6356 10514 12494 12712 16117 21028 24988 32234 42056 43729 49976 53321 64468 87458 106642 112819 128936 170477 174916 213284 225638 340954 349832 373247 426568 443537 451276 681908 746494 887074 902552 1193339 1363816 1418069 1492988 1774148 2386678 2836138 2985976 3104759 3548296 4691497 4773356 5672276 6209518 9382994 9546712 9926483 11344552 12103867 12419036 18765988 19852966 24207734 24838072 32840479 37531976 39705932 48415468 65680958 79411864 84727069 96830936 100682899 131361916 169454138 201365798 262723832 333096287 338908276 402731596 666192574 677816552 704780293 805463192 1064969819 1332385148 1409560586 2129939638 2331674009 2664770296 2819121172 4259879276 4663348018 5638242344 7454788733 8519758552 9326696036 14909577466 18653392072 29819154932 59638309864 75612857149 151225714298 302451428596 529290000043 604902857192 1058580000086 2117160000172 4234320000344