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3385096 = 2311213269
BaseRepresentation
bin1100111010011100001000
320100222110221
430322130020
51331310341
6200315424
740526041
oct14723410
96328427
103385096
111a02300
121172b74
13916a20
146418c8
1546ced1
hex33a708

3385096 has 48 divisors (see below), whose sum is σ = 7541100. Its totient is φ = 1415040.

The previous prime is 3385087. The next prime is 3385099. The reversal of 3385096 is 6905833.

It can be written as a sum of positive squares in 2 ways, for example, as 2722500 + 662596 = 1650^2 + 814^2 .

It is a super-2 number, since 2×33850962 = 22917749858432, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3385099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12450 + ... + 12718.

Almost surely, 23385096 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 3385096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770550).

3385096 is an abundant number, since it is smaller than the sum of its proper divisors (4156004).

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

3385096 is a wasteful number, since it uses less digits than its factorization.

3385096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3385096 is about 1839.8630383808. The cubic root of 3385096 is about 150.1494214758.

The spelling of 3385096 in words is "three million, three hundred eighty-five thousand, ninety-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 269 286 484 538 572 968 1076 1144 1573 2152 2959 3146 3497 5918 6292 6994 11836 12584 13988 23672 27976 32549 38467 65098 76934 130196 153868 260392 307736 423137 846274 1692548 3385096