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3321493696 = 26791494409
BaseRepresentation
bin1100010111111001…
…1111100011000000
322120110222100210001
43011332133203000
523300300244241
61305331045344
7145211142043
oct30576374300
98513870701
103321493696
111454995414
12788440854
1340c1995b1
142371b2c5a
151468eb431
hexc5f9f8c0

3321493696 has 56 divisors (see below), whose sum is σ = 6720840000. Its totient is φ = 1628350464.

The previous prime is 3321493579. The next prime is 3321493753. The reversal of 3321493696 is 6963941233.

It is a super-2 number, since 2×33214936962 = 22064640745135480832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751140 + ... + 755548.

It is an arithmetic number, because the mean of its divisors is an integer number (120015000).

Almost surely, 23321493696 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 3321493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360420000).

3321493696 is an abundant number, since it is smaller than the sum of its proper divisors (3399346304).

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

3321493696 is a wasteful number, since it uses less digits than its factorization.

3321493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4639 counting only the distinct ones).

The product of its digits is 629856, while the sum is 46.

The square root of 3321493696 is about 57632.4014422443. The cubic root of 3321493696 is about 1492.0308771794.

The spelling of 3321493696 in words is "three billion, three hundred twenty-one million, four hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 149 158 298 316 596 632 1192 1264 2384 2528 4409 4768 5056 8818 9536 11771 17636 23542 35272 47084 70544 94168 141088 188336 282176 348311 376672 656941 696622 753344 1313882 1393244 2627764 2786488 5255528 5572976 10511056 11145952 21022112 22291904 42044224 51898339 103796678 207593356 415186712 830373424 1660746848 3321493696