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3403828920 = 233597729033
BaseRepresentation
bin1100101011100010…
…0100111010111000
322210012220102110210
43022320210322320
523432340011140
61321431511120
7150231032322
oct31270447270
98705812423
103403828920
111497411058
127abb284a0
1342326686b
142440c6612
1514dc61d80
hexcae24eb8

3403828920 has 64 divisors (see below), whose sum is σ = 10222290720. Its totient is φ = 906727424.

The previous prime is 3403828913. The next prime is 3403828931. The reversal of 3403828920 is 298283043.

3403828920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102724 + ... + 131756.

Almost surely, 23403828920 is an apocalyptic number.

3403828920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3403828920 is an abundant number, since it is smaller than the sum of its proper divisors (6818461800).

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

3403828920 is a wasteful number, since it uses less digits than its factorization.

3403828920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30024 (or 30020 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3403828920 is about 58342.3424281199. The cubic root of 3403828920 is about 1504.2588478108.

The spelling of 3403828920 in words is "three billion, four hundred three million, eight hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 977 1954 2931 3908 4885 5862 7816 9770 11724 14655 19540 23448 29033 29310 39080 58066 58620 87099 116132 117240 145165 174198 232264 290330 348396 435495 580660 696792 870990 1161320 1741980 3483960 28365241 56730482 85095723 113460964 141826205 170191446 226921928 283652410 340382892 425478615 567304820 680765784 850957230 1134609640 1701914460 3403828920