Search a number
-
+
3364290 = 2325291289
BaseRepresentation
bin1100110101010111000010
320022220221100
430311113002
51330124130
6200035230
740411266
oct14652702
96286840
103364290
111998706
121162b16
1390a407
146380a6
15466c60
hex3355c2

3364290 has 48 divisors (see below), whose sum is σ = 9055800. Its totient is φ = 865536.

The previous prime is 3364267. The next prime is 3364297. The reversal of 3364290 is 924633.

3364290 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 4 ways, for example, as 3101121 + 263169 = 1761^2 + 513^2 .

It is a super-2 number, since 2×33642902 = 22636894408200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364297) 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 23 ways as a sum of consecutive naturals, for example, 1966 + ... + 3254.

Almost surely, 23364290 is an apocalyptic number.

3364290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527900).

3364290 is an abundant number, since it is smaller than the sum of its proper divisors (5691510).

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

3364290 is a wasteful number, since it uses less digits than its factorization.

3364290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3364290 is about 1834.2000981354. The cubic root of 3364290 is about 149.8411652027.

The spelling of 3364290 in words is "three million, three hundred sixty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1289 1305 2578 2610 3867 6445 7734 11601 12890 19335 23202 37381 38670 58005 74762 112143 116010 186905 224286 336429 373810 560715 672858 1121430 1682145 3364290