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2968620312 = 233725347629
BaseRepresentation
bin1011000011110001…
…1000110100011000
321122212222112111110
42300330120310120
522034431322222
61210323500320
7133364566500
oct26074306430
97585875443
102968620312
111293788419
126aa2276a0
13384048588
14202398a00
1512594630c
hexb0f18d18

2968620312 has 96 divisors (see below), whose sum is σ = 8796308400. Its totient is φ = 832156416.

The previous prime is 2968620307. The next prime is 2968620313. The reversal of 2968620312 is 2130268692.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968620313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38514 + ... + 86142.

Almost surely, 22968620312 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 2968620312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398154200).

2968620312 is an abundant number, since it is smaller than the sum of its proper divisors (5827688088).

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

2968620312 is a wasteful number, since it uses less digits than its factorization.

2968620312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47705 (or 47694 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2968620312 is about 54485.0466825532. The cubic root of 2968620312 is about 1437.2033413482.

The spelling of 2968620312 in words is "two billion, nine hundred sixty-eight million, six hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 1113 1176 1272 1484 2226 2597 2968 4452 5194 7791 8904 10388 15582 20776 31164 47629 62328 95258 142887 190516 285774 333403 381032 571548 666806 1000209 1143096 1333612 2000418 2333821 2524337 2667224 4000836 4667642 5048674 7001463 7573011 8001672 9335284 10097348 14002926 15146022 17670359 18670568 20194696 28005852 30292044 35340718 53011077 56011704 60584088 70681436 106022154 123692513 141362872 212044308 247385026 371077539 424088616 494770052 742155078 989540104 1484310156 2968620312