Search a number
-
+
340100031110334 = 231119735573666649
BaseRepresentation
bin100110101010100011011010…
…1100010101101110010111110
31122121012020121221001111202220
41031111012311202231302332
5324034144330431012314
63203155444122230210
7131431262551124025
oct11525066542556276
91577166557044686
10340100031110334
1199403682199310
12321897b8355366
13117a03aba824a1
145ddad0214d8bc
15294bbb03ad3a9
hex13551b58adcbe

340100031110334 has 128 divisors (see below), whose sum is σ = 791934121152000. Its totient is φ = 96281464043520.

The previous prime is 340100031110321. The next prime is 340100031110393. The reversal of 340100031110334 is 433011130001043.

It is a super-2 number, since 2×3401000311103342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509830242 + ... + 510496890.

It is an arithmetic number, because the mean of its divisors is an integer number (6186985321500).

Almost surely, 2340100031110334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340100031110334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395967060576000).

340100031110334 is an abundant number, since it is smaller than the sum of its proper divisors (451834090041666).

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

340100031110334 is a wasteful number, since it uses less digits than its factorization.

340100031110334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672330.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 340100031110334 its reverse (433011130001043), we get a palindrome (773111161111377).

The spelling of 340100031110334 in words is "three hundred forty trillion, one hundred billion, thirty-one million, one hundred ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 73 114 146 209 219 418 438 627 803 1254 1387 1606 2409 2774 4161 4818 5573 8322 11146 15257 16719 30514 33438 45771 61303 91542 105887 122606 183909 211774 317661 367818 406829 635322 666649 813658 1164757 1220487 1333298 1999947 2329514 2440974 3494271 3999894 4475119 6988542 7333139 7729751 8950238 12666331 13425357 14666278 15459502 21999417 23189253 25332662 26850714 37998993 43998834 46378506 48665377 75997986 85027261 97330754 139329641 145996131 170054522 255081783 278659282 291992262 417988923 510163566 535319147 835977846 924642163 1070638294 1605957441 1849284326 2773926489 3211914882 3715234877 5547852978 7430469754 10171063793 11145704631 20342127586 22291409262 30513191379 40867583647 61026382758 70589462663 81735167294 122602750941 141178925326 211768387989 245205501882 271212146021 423536775978 542424292042 776484089293 813636438063 1552968178586 1627272876126 2329452267879 2983333606231 4658904535758 5153030774399 5966667212462 8950000818693 10306061548798 15459092323197 17900001637386 30918184646394 56683338518389 113366677036778 170050015555167 340100031110334