Search a number
-
+
3376435120 = 245307137477
BaseRepresentation
bin1100100101000000…
…0100111110110000
322201022100200020121
43021100010332300
523403331410440
61315012420024
7146446140112
oct31120047660
98638320217
103376435120
111482a00753
127a2917614
1341a694c06
142405d53b2
1514b65034a
hexc9404fb0

3376435120 has 40 divisors (see below), whose sum is σ = 7875839664. Its totient is φ = 1346164992.

The previous prime is 3376435099. The next prime is 3376435123. The reversal of 3376435120 is 215346733.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33764351202 = 22800628239138828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3376435123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44179 + ... + 93298.

Almost surely, 23376435120 is an apocalyptic number.

It is an amenable number.

3376435120 is an abundant number, since it is smaller than the sum of its proper divisors (4499404544).

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

3376435120 is a wasteful number, since it uses less digits than its factorization.

3376435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137797 (or 137791 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 3376435120 is about 58107.1004267121. The cubic root of 3376435120 is about 1500.2125802420.

The spelling of 3376435120 in words is "three billion, three hundred seventy-six million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 307 614 1228 1535 2456 3070 4912 6140 12280 24560 137477 274954 549908 687385 1099816 1374770 2199632 2749540 5499080 10998160 42205439 84410878 168821756 211027195 337643512 422054390 675287024 844108780 1688217560 3376435120