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346289143460 = 225131331881321
BaseRepresentation
bin1010000101000000111…
…00001111111010100100
31020002211111010011011212
411002200130033322210
521133200010042320
6423025534050552
734006240103351
oct5024034177244
91202744104155
10346289143460
11123951214967
1257143649a58
1326868b46320
1412a90aa7628
15901b3959c5
hex50a070fea4

346289143460 has 24 divisors (see below), whose sum is σ = 783146217336. Its totient is φ = 127860606720.

The previous prime is 346289143433. The next prime is 346289143477. The reversal of 346289143460 is 64341982643.

It can be written as a sum of positive squares in 4 ways, for example, as 8558470144 + 337730673316 = 92512^2 + 581146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 346289143399 and 346289143408.

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 7 ways as a sum of consecutive naturals, for example, 665940401 + ... + 665940920.

It is an arithmetic number, because the mean of its divisors is an integer number (32631092389).

Almost surely, 2346289143460 is an apocalyptic number.

It is an amenable number.

346289143460 is an abundant number, since it is smaller than the sum of its proper divisors (436857073876).

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

346289143460 is a wasteful number, since it uses less digits than its factorization.

346289143460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331881343 (or 1331881341 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 346289143460 in words is "three hundred forty-six billion, two hundred eighty-nine million, one hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1331881321 2663762642 5327525284 6659406605 13318813210 17314457173 26637626420 34628914346 69257828692 86572285865 173144571730 346289143460