Search a number
-
+
34310403203132 = 22726759313733209
BaseRepresentation
bin1111100110100100000110…
…11001010010000000111100
311111111001010222202222000002
413303102003121102000330
513444120201210000012
6200545552011053432
710140562530162200
oct763220331220074
9144431128688002
1034310403203132
11aa28a62157461
123a21704741278
13161b5c3447284
148688bd34ab00
153e775b8e87c2
hex1f348365203c

34310403203132 has 144 divisors (see below), whose sum is σ = 71082062140320. Its totient is φ = 14445527298048.

The previous prime is 34310403203077. The next prime is 34310403203143. The reversal of 34310403203132 is 23130230401343.

It is a super-2 number, since 2×343104032031322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34310403203095 and 34310403203104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10691928344 + ... + 10691931552.

It is an arithmetic number, because the mean of its divisors is an integer number (493625431530).

Almost surely, 234310403203132 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 34310403203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35541031070160).

34310403203132 is an abundant number, since it is smaller than the sum of its proper divisors (36771658937188).

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

34310403203132 is a wasteful number, since it uses less digits than its factorization.

34310403203132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 34310403203132 its reverse (23130230401343), we get a palindrome (57440633604475).

The spelling of 34310403203132 in words is "thirty-four trillion, three hundred ten billion, four hundred three million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 593 938 1186 1373 1876 2372 2746 3209 3283 4151 5492 6418 6566 8302 9611 12836 13132 16604 19222 22463 29057 38444 39731 44926 58114 67277 79462 89852 91991 116228 134554 157241 158924 183982 215003 269108 278117 314482 367964 430006 556234 628964 643937 814189 860012 1112468 1287874 1505021 1628378 1902937 1946819 2575748 3010042 3256756 3805874 3893638 4405957 4507559 5699323 6020084 7611748 7787276 8811914 9015118 10535147 11398646 13320559 17623828 18030236 21070294 22797292 26641118 30841699 39895261 42140588 53282236 54550663 61683398 79790522 93243913 109101326 123366796 127496779 159581044 186487826 215891893 218202652 254993558 295199119 372975652 381854641 431783786 509987116 590398238 763709282 863567572 892477453 1180796476 1527418564 1784954906 2066393833 2612732501 2672982487 3569909812 4132787666 5225465002 5345964974 6247342171 8265575332 10450930004 10691929948 12494684342 14464756831 18289127507 24989368684 28929513662 36578255014 57859027324 73156510028 128023892549 175053077567 256047785098 350106155134 512095570196 700212310268 1225371542969 2450743085938 4901486171876 8577600800783 17155201601566 34310403203132