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334230520544 = 25376714928277
BaseRepresentation
bin1001101110100011011…
…00010000001011100000
31011221201002200122022022
410313101230100023200
520434001003124134
6413313212001012
733101354356334
oct4672154201340
91157632618268
10334230520544
11119823462aa8
1254939160168
13256967c75ab
14122693897c4
158a628e552e
hex4dd1b102e0

334230520544 has 96 divisors (see below), whose sum is σ = 690514826400. Its totient is φ = 159091181568.

The previous prime is 334230520511. The next prime is 334230520573. The reversal of 334230520544 is 445025032433.

It is a happy number.

It is a super-2 number, since 2×3342305205442 (a number of 24 digits) contains 22 as substring.

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, 11805734 + ... + 11834010.

It is an arithmetic number, because the mean of its divisors is an integer number (7192862775).

Almost surely, 2334230520544 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 334230520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345257413200).

334230520544 is an abundant number, since it is smaller than the sum of its proper divisors (356284305856).

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

334230520544 is a wasteful number, since it uses less digits than its factorization.

334230520544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28540 (or 28532 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 334230520544 its reverse (445025032433), we get a palindrome (779255552977).

The spelling of 334230520544 in words is "three hundred thirty-four billion, two hundred thirty million, five hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 67 74 134 148 149 268 296 298 536 592 596 1072 1184 1192 2144 2384 2479 4768 4958 5513 9916 9983 11026 19832 19966 22052 28277 39664 39932 44104 56554 79328 79864 88208 113108 159728 176416 226216 319456 369371 452432 738742 904864 1046249 1477484 1894559 2092498 2954968 3789118 4184996 4213273 5909936 7578236 8369992 8426546 11819872 15156472 16739984 16853092 30312944 33479968 33706184 60625888 67412368 70098683 134824736 140197366 155891101 280394732 282289291 311782202 560789464 564578582 623564404 1121578928 1129157164 1247128808 2243157856 2258314328 2494257616 4516628656 4988515232 9033257312 10444703767 20889407534 41778815068 83557630136 167115260272 334230520544