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3368205 = 32529289
BaseRepresentation
bin1100110110010100001101
320100010022100
430312110031
51330240310
6200105313
740425561
oct14662415
96303270
103368205
1119a0645
121165239
1390c129
146396a1
15467ec0
hex33650d

3368205 has 36 divisors (see below), whose sum is σ = 6114420. Its totient is φ = 1714944.

The previous prime is 3368201. The next prime is 3368207. The reversal of 3368205 is 5028633.

3368205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 149769 + 3218436 = 387^2 + 1794^2 .

It is not a de Polignac number, because 3368205 - 22 = 3368201 is a prime.

It is a super-2 number, since 2×33682052 = 22689609844050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37801 + ... + 37889.

It is an arithmetic number, because the mean of its divisors is an integer number (169845).

Almost surely, 23368205 is an apocalyptic number.

It is an amenable number.

3368205 is a deficient number, since it is larger than the sum of its proper divisors (2746215).

3368205 is a wasteful number, since it uses less digits than its factorization.

3368205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3368205 is about 1835.2670105464. The cubic root of 3368205 is about 149.8992656991.

The spelling of 3368205 in words is "three million, three hundred sixty-eight thousand, two hundred five".

Divisors: 1 3 5 9 15 29 45 87 89 145 261 267 435 445 801 841 1305 1335 2523 2581 4005 4205 7569 7743 12615 12905 23229 37845 38715 74849 116145 224547 374245 673641 1122735 3368205