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3440343400074 = 2327591252736943
BaseRepresentation
bin110010000100000100011…
…100100011111010001010
3110011220010110001201021200
4302010010130203322022
5422331310402300244
611152245534445030
7503361626254230
oct62040434437212
913156113051250
103440343400074
111107050183729
12476918063776
131bc5664058b9
14bc7290d6950
155e757d57669
hex32104723e8a

3440343400074 has 96 divisors (see below), whose sum is σ = 8664260567040. Its totient is φ = 966191707296.

The previous prime is 3440343400063. The next prime is 3440343400093. The reversal of 3440343400074 is 4700043430443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93107247 + ... + 93144189.

It is an arithmetic number, because the mean of its divisors is an integer number (90252714240).

Almost surely, 23440343400074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440343400074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332130283520).

3440343400074 is an abundant number, since it is smaller than the sum of its proper divisors (5223917166966).

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

3440343400074 is a wasteful number, since it uses less digits than its factorization.

3440343400074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49544 (or 49541 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 3440343400074 in words is "three trillion, four hundred forty billion, three hundred forty-three million, four hundred thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 2478 3717 7434 12527 25054 36943 37581 73886 75162 87689 110829 112743 175378 221658 225486 258601 263067 332487 517202 526134 664974 739093 775803 789201 1478186 1551606 1578402 2179637 2217279 2327409 4359274 4434558 4654818 5173651 6538911 6651837 10347302 13077822 13303674 15257459 15520953 19616733 30514918 31041906 39233466 45772377 46562859 91544754 93125718 137317131 274634262 462784961 925569922 1388354883 2776709766 3239494727 4165064649 6478989454 8330129298 9718484181 19436968362 27304312699 29155452543 54608625398 58310905086 81912938097 163825876194 191130188893 245738814291 382260377786 491477628582 573390566679 1146781133358 1720171700037 3440343400074