Search a number
-
+
34326125751030 = 2354367494380347
BaseRepresentation
bin1111100111000001011001…
…00010000010101011110110
311111112112201201112011001220
413303200230202002223312
513444344401143013110
6201001112055531210
710141660252503231
oct763405442025366
9144475651464056
1034326125751030
11aa346a01193a3
123a24772089b06
13161cc2a898759
148695714d8418
153e7d7bd86370
hex1f382c882af6

34326125751030 has 128 divisors (see below), whose sum is σ = 85575140057088. Its totient is φ = 8805422812032.

The previous prime is 34326125751023. The next prime is 34326125751031. The reversal of 34326125751030 is 3015752162343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34326125751031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427183317 + ... + 427263663.

It is an arithmetic number, because the mean of its divisors is an integer number (668555781696).

Almost surely, 234326125751030 is an apocalyptic number.

34326125751030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34326125751030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42787570028544).

34326125751030 is an abundant number, since it is smaller than the sum of its proper divisors (51249014306058).

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

34326125751030 is a wasteful number, since it uses less digits than its factorization.

34326125751030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85410.

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 34326125751030 in words is "thirty-four trillion, three hundred twenty-six billion, one hundred twenty-five million, seven hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 67 86 129 134 201 215 258 335 402 430 645 670 1005 1290 2010 2881 4943 5762 8643 9886 14405 14829 17286 24715 28810 29658 43215 49430 74145 80347 86430 148290 160694 212549 241041 331181 401735 425098 482082 637647 662362 803470 993543 1062745 1205205 1275294 1655905 1987086 2125490 2410410 3188235 3311810 3454921 4967715 5383249 6376470 6909842 9935430 10364763 10766498 14240783 16149747 17274605 20729526 26916245 28481566 32299494 34549210 42722349 51823815 53832490 71203915 80748735 85444698 103647630 142407830 161497470 213611745 231479707 397155221 427223490 462959414 694439121 794310442 1157398535 1191465663 1388878242 1985776105 2314797070 2382931326 3472195605 3971552210 5957328315 6944391210 11914656630 17077674503 26609399807 34155349006 51233023509 53218799614 79828199421 85388372515 102466047018 133046999035 159656398842 170776745030 256165117545 266093998070 399140997105 512330235090 798281994210 1144204191701 2288408383402 3432612575103 5721020958505 6865225150206 11442041917010 17163062875515 34326125751030