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3383948016 = 2436290119
BaseRepresentation
bin1100100110110010…
…1111001011110000
322201211111101000000
43021230233023300
523412242314031
61315441430000
7146600040441
oct31154571360
98654441000
103383948016
111487172259
127a533b300
1341c0c5707
142415cd2c8
1514c1363e6
hexc9b2f2f0

3383948016 has 70 divisors (see below), whose sum is σ = 9830135960. Its totient is φ = 1127978784.

The previous prime is 3383947991. The next prime is 3383948017. The reversal of 3383948016 is 6108493833.

It is a super-2 number, since 2×33839480162 = 22902208349980672512, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3383948017) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 133396 + ... + 156723.

Almost surely, 23383948016 is an apocalyptic number.

3383948016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3383948016 is an abundant number, since it is smaller than the sum of its proper divisors (6446187944).

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

3383948016 is an equidigital number, since it uses as much as digits as its factorization.

3383948016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290145 (or 290124 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3383948016 is about 58171.7114755961. The cubic root of 3383948016 is about 1501.3244621891.

The spelling of 3383948016 in words is "three billion, three hundred eighty-three million, nine hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 290119 580238 870357 1160476 1740714 2320952 2611071 3481428 4641904 5222142 6962856 7833213 10444284 13925712 15666426 20888568 23499639 31332852 41777136 46999278 62665704 70498917 93998556 125331408 140997834 187997112 211496751 281995668 375994224 422993502 563991336 845987004 1127982672 1691974008 3383948016