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3413340060 = 2235137515827
BaseRepresentation
bin1100101101110011…
…0110111110011100
322210212210122022020
43023130312332130
523442303340220
61322411420140
7150404624514
oct31334667634
98725718266
103413340060
1114a18179a9
127b3154650
13425216a60
14245480844
1514e9e0040
hexcb736f9c

3413340060 has 96 divisors (see below), whose sum is σ = 10308006912. Its totient is φ = 838944000.

The previous prime is 3413340031. The next prime is 3413340071. The reversal of 3413340060 is 600433143.

It is a self number, because there is not a number n which added to its sum of digits gives 3413340060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582867 + ... + 588693.

It is an arithmetic number, because the mean of its divisors is an integer number (107375072).

Almost surely, 23413340060 is an apocalyptic number.

3413340060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413340060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154003456).

3413340060 is an abundant number, since it is smaller than the sum of its proper divisors (6894666852).

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

3413340060 is a wasteful number, since it uses less digits than its factorization.

3413340060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3413340060 is about 58423.7970351123. The cubic root of 3413340060 is about 1505.6586352771.

The spelling of 3413340060 in words is "three billion, four hundred thirteen million, three hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 751 780 1502 2253 3004 3755 4506 5827 7510 9012 9763 11265 11654 15020 17481 19526 22530 23308 29135 29289 34962 39052 45060 48815 58270 58578 69924 75751 87405 97630 116540 117156 146445 151502 174810 195260 227253 292890 303004 349620 378755 454506 585780 757510 909012 1136265 1515020 2272530 4376077 4545060 8752154 13128231 17504308 21880385 26256462 43760770 52512924 56889001 65641155 87521540 113778002 131282310 170667003 227556004 262564620 284445005 341334006 568890010 682668012 853335015 1137780020 1706670030 3413340060