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345184256868 = 2231131116372533
BaseRepresentation
bin1010000010111101001…
…01011100001101100100
31012222222111002002201020
411001132211130031210
521123414132204433
6422324144331140
733636662525553
oct5013645341544
91188874062636
10345184256868
11123434572250
1256a95613ab0
1326720c74389
14129c8055d9a
158ea4396cb3
hex505e95c364

345184256868 has 96 divisors (see below), whose sum is σ = 907786801152. Its totient is φ = 101138620800.

The previous prime is 345184256863. The next prime is 345184256869. The reversal of 345184256868 is 868652481543.

It is not an unprimeable number, because it can be changed into a prime (345184256863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4722730 + ... + 4795262.

It is an arithmetic number, because the mean of its divisors is an integer number (9456112512).

Almost surely, 2345184256868 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 345184256868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453893400576).

345184256868 is an abundant number, since it is smaller than the sum of its proper divisors (562602544284).

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

345184256868 is a wasteful number, since it uses less digits than its factorization.

345184256868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73745 (or 73743 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 60.

The spelling of 345184256868 in words is "three hundred forty-five billion, one hundred eighty-four million, two hundred fifty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1163 1364 2046 2326 3489 4092 4652 6978 12793 13956 25586 36053 38379 51172 72106 72533 76758 108159 144212 145066 153516 216318 217599 290132 396583 432636 435198 793166 797863 870396 1189749 1586332 1595726 2248523 2379498 2393589 3191452 4497046 4758996 4787178 6745569 8994092 9574356 13491138 24733753 26982276 49467506 74201259 84355879 98935012 148402518 168711758 253067637 296805036 337423516 506135274 927914669 1012270548 1855829338 2615032249 2783744007 3711658676 5230064498 5567488014 7845096747 10460128996 11134976028 15690193494 28765354739 31380386988 57530709478 86296064217 115061418956 172592128434 345184256868