Search a number
-
+
346354320048 = 243111373477767
BaseRepresentation
bin1010000101001000101…
…00111000001010110000
31020010000000202110122120
411002210110320022300
521133313201220143
6423040223034240
734010661100512
oct5024424701260
91203000673576
10346354320048
11123984a91010
125716143b980
13268794b6559
1412a995d1bb2
159021e6c383
hex50a45382b0

346354320048 has 80 divisors (see below), whose sum is σ = 976802409216. Its totient is φ = 104879192320.

The previous prime is 346354320007. The next prime is 346354320073. The reversal of 346354320048 is 840023453643.

It is a super-2 number, since 2×3463543200482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346354319991 and 346354320009.

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, 486061 + ... + 963827.

Almost surely, 2346354320048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346354320048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488401204608).

346354320048 is an abundant number, since it is smaller than the sum of its proper divisors (630448089168).

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

346354320048 is a wasteful number, since it uses less digits than its factorization.

346354320048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479162 (or 479156 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 346354320048 in words is "three hundred forty-six billion, three hundred fifty-four million, three hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1373 2746 4119 5492 8238 10984 15103 16476 21968 30206 32952 45309 60412 65904 90618 120824 181236 241648 362472 477767 724944 955534 1433301 1911068 2866602 3822136 5255437 5733204 7644272 10510874 11466408 15766311 21021748 22932816 31532622 42043496 63065244 84086992 126130488 252260976 655974091 1311948182 1967922273 2623896364 3935844546 5247792728 7215715001 7871689092 10495585456 14431430002 15743378184 21647145003 28862860004 31486756368 43294290006 57725720008 86588580012 115451440016 173177160024 346354320048