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3297796096 = 2137131439
BaseRepresentation
bin1100010010010000…
…0110000000000000
322111211101101210011
43010210012000000
523223213433341
61303123114304
7144502542610
oct30444060000
98454341704
103297796096
11144257a021
12780512994
134072c014a
14233da4a40
151447b9b81
hexc4906000

3297796096 has 112 divisors (see below), whose sum is σ = 7612197120. Its totient is φ = 1399357440.

The previous prime is 3297796057. The next prime is 3297796109. The reversal of 3297796096 is 6906977923.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3297796096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7511845 + ... + 7512283.

Almost surely, 23297796096 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 3297796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806098560).

3297796096 is an abundant number, since it is smaller than the sum of its proper divisors (4314401024).

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

3297796096 is an equidigital number, since it uses as much as digits as its factorization.

3297796096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 58.

The square root of 3297796096 is about 57426.4407394364. The cubic root of 3297796096 is about 1488.4740463649.

The spelling of 3297796096 in words is "three billion, two hundred ninety-seven million, seven hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 256 262 439 448 512 524 878 896 917 1024 1048 1756 1792 1834 2048 2096 3073 3512 3584 3668 4096 4192 6146 7024 7168 7336 8192 8384 12292 14048 14336 14672 16768 24584 28096 28672 29344 33536 49168 56192 57344 57509 58688 67072 98336 112384 115018 117376 134144 196672 224768 230036 234752 268288 393344 402563 449536 460072 469504 536576 786688 805126 899072 920144 939008 1073152 1573376 1610252 1798144 1840288 1878016 3146752 3220504 3596288 3680576 3756032 6293504 6441008 7361152 7512064 12587008 12882016 14722304 25174016 25764032 29444608 51528064 58889216 103056128 117778432 206112256 235556864 412224512 471113728 824449024 1648898048 3297796096