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340023334400241 = 31512467933041429
BaseRepresentation
bin100110101001111111101101…
…0000011111111000011110001
31122120220220122210122221122120
41031103333122003333003301
5324031420242101301431
63203100321405424453
7131422606126626162
oct11523773203770361
91576826583587576
10340023334400241
11993840a4973898
123217697286b129
13117960a81122ab
145dd7307da9769
152949bc1de2196
hex1353fda0ff0f1

340023334400241 has 16 divisors (see below), whose sum is σ = 456368858655360. Its totient is φ = 225180029692800.

The previous prime is 340023334400221. The next prime is 340023334400249. The reversal of 340023334400241 is 142004433320043.

It is a happy number.

It is not a de Polignac number, because 340023334400241 - 214 = 340023334383857 is a prime.

It is a super-2 number, since 2×3400233344002412 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340023334400249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110276515 + ... + 113317943.

It is an arithmetic number, because the mean of its divisors is an integer number (28523053665960).

Almost surely, 2340023334400241 is an apocalyptic number.

It is an amenable number.

340023334400241 is a deficient number, since it is larger than the sum of its proper divisors (116345524255119).

340023334400241 is a wasteful number, since it uses less digits than its factorization.

340023334400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288376.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 340023334400241 its reverse (142004433320043), we get a palindrome (482027767720284).

The spelling of 340023334400241 in words is "three hundred forty trillion, twenty-three billion, three hundred thirty-four million, four hundred thousand, two hundred forty-one".

Divisors: 1 3 151 453 246793 740379 3041429 9124287 37265743 111797229 459255779 1377767337 750603387197 2251810161591 113341111466747 340023334400241