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3326716416 = 2935936709
BaseRepresentation
bin1100011001001001…
…1010101000000000
322120211210201000010
43012102122220000
523303114411131
61310035024520
7145303423452
oct30622325000
98524721003
103326716416
111457932311
1278a13b140
134102a786a
14237b722d2
151470cdb46
hexc649aa00

3326716416 has 80 divisors (see below), whose sum is σ = 9013039200. Its totient is φ = 1090080768.

The previous prime is 3326716399. The next prime is 3326716439. The reversal of 3326716416 is 6146176233.

It is a super-2 number, since 2×33267164162 = 22134084224967770112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72270 + ... + 108978.

It is an arithmetic number, because the mean of its divisors is an integer number (112662990).

Almost surely, 23326716416 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 3326716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506519600).

3326716416 is an abundant number, since it is smaller than the sum of its proper divisors (5686322784).

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

3326716416 is an equidigital number, since it uses as much as digits as its factorization.

3326716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36789 (or 36773 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 3326716416 is about 57677.6942673682. The cubic root of 3326716416 is about 1492.8124912653.

The spelling of 3326716416 in words is "three billion, three hundred twenty-six million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1416 1536 1888 2832 3776 5664 7552 11328 15104 22656 30208 36709 45312 73418 90624 110127 146836 220254 293672 440508 587344 881016 1174688 1762032 2165831 2349376 3524064 4331662 4698752 6497493 7048128 8663324 9397504 12994986 14096256 17326648 18795008 25989972 28192512 34653296 51979944 56385024 69306592 103959888 138613184 207919776 277226368 415839552 554452736 831679104 1108905472 1663358208 3326716416