Search a number
-
+
3355290 = 233517243
BaseRepresentation
bin1100110011001010011010
320022110121000
430303022122
51324332130
6155525430
740343121
oct14631232
96273530
103355290
111991974
121159876
139062a3
14634ab8
15464260
hex33329a

3355290 has 96 divisors (see below), whose sum is σ = 9725760. Its totient is φ = 822528.

The previous prime is 3355259. The next prime is 3355291. The reversal of 3355290 is 925533.

3355290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33552902 = 22515941968200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3355291) 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 47 ways as a sum of consecutive naturals, for example, 78009 + ... + 78051.

It is an arithmetic number, because the mean of its divisors is an integer number (101310).

Almost surely, 23355290 is an apocalyptic number.

3355290 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 3355290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862880).

3355290 is an abundant number, since it is smaller than the sum of its proper divisors (6370470).

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

3355290 is a wasteful number, since it uses less digits than its factorization.

3355290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3355290 is about 1831.7450695989. The cubic root of 3355290 is about 149.7074297219.

It can be divided in two parts, 335 and 5290, that added together give a square (5625 = 752).

The spelling of 3355290 in words is "three million, three hundred fifty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 43 45 51 54 85 86 90 102 129 135 153 170 215 255 258 270 289 306 387 430 459 510 578 645 731 765 774 867 918 1161 1290 1445 1462 1530 1734 1935 2193 2295 2322 2601 2890 3655 3870 4335 4386 4590 5202 5805 6579 7310 7803 8670 10965 11610 12427 13005 13158 15606 19737 21930 24854 26010 32895 37281 39015 39474 62135 65790 74562 78030 98685 111843 124270 186405 197370 223686 335529 372810 559215 671058 1118430 1677645 3355290