Search a number
-
+
3362268 = 2237133079
BaseRepresentation
bin1100110100110111011100
320022211011110
430310313130
51330043033
6200022020
740402350
oct14646734
96284143
103362268
111997138
121161910
13909510
14637460
15466363
hex334ddc

3362268 has 48 divisors (see below), whose sum is σ = 9658880. Its totient is φ = 886464.

The previous prime is 3362263. The next prime is 3362273. The reversal of 3362268 is 8622633.

It is an interprime number because it is at equal distance from previous prime (3362263) and next prime (3362273).

It is a super-2 number, since 2×33622682 = 22609692207648, which contains 22 as substring.

It is a d-powerful number, because it can be written as 35 + 36 + 68 + 23 + 211 + 68 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362263) 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 15 ways as a sum of consecutive naturals, for example, 448 + ... + 2631.

Almost surely, 23362268 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 3362268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829440).

3362268 is an abundant number, since it is smaller than the sum of its proper divisors (6296612).

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

3362268 is a wasteful number, since it uses less digits than its factorization.

3362268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3104 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 3362268 is about 1833.6488213396. The cubic root of 3362268 is about 149.8111400905.

The spelling of 3362268 in words is "three million, three hundred sixty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 3079 6158 9237 12316 18474 21553 36948 40027 43106 64659 80054 86212 120081 129318 160108 240162 258636 280189 480324 560378 840567 1120756 1681134 3362268