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3430413332304 = 243761703165463
BaseRepresentation
bin110001111010110100100…
…100010110111101010000
3110010221111101220000010220
4301322310210112331100
5422200441303113204
611143524330553040
7502560561134310
oct61726444267520
913127441800126
103430413332304
111102914993852
12474a06598780
131bb64306215a
14bc066379440
155e3761b01d9
hex31eb4916f50

3430413332304 has 80 divisors (see below), whose sum is σ = 10128112330752. Its totient is φ = 980096287104.

The previous prime is 3430413332293. The next prime is 3430413332347. The reversal of 3430413332304 is 4032333140343.

3430413332304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20649477 + ... + 20814939.

Almost surely, 23430413332304 is an apocalyptic number.

It is an amenable number.

3430413332304 is an abundant number, since it is smaller than the sum of its proper divisors (6697698998448).

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

3430413332304 is a wasteful number, since it uses less digits than its factorization.

3430413332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227184 (or 227178 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 3430413332304 its reverse (4032333140343), we get a palindrome (7462746472647).

The spelling of 3430413332304 in words is "three trillion, four hundred thirty billion, four hundred thirteen million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 61703 123406 165463 185109 246812 330926 370218 431921 493624 496389 661852 740436 863842 987248 992778 1158241 1295763 1323704 1480872 1727684 1985556 2316482 2591526 2647408 2961744 3455368 3474723 3971112 4632964 5183052 6910736 6949446 7942224 9265928 10366104 13898892 18531856 20732208 27797784 55595568 10209563489 20419126978 30628690467 40838253956 61257380934 71466944423 81676507912 122514761868 142933888846 163353015824 214400833269 245029523736 285867777692 428801666538 490059047472 571735555384 857603333076 1143471110768 1715206666152 3430413332304