Search a number
-
+
3322305 = 325753199
BaseRepresentation
bin1100101011000111000001
320020210100100
430223013001
51322303210
6155113013
740145010
oct14530701
96223310
103322305
11196a108
121142769
138c427c
14626a77
154595c0
hex32b1c1

3322305 has 48 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 1482624.

The previous prime is 3322279. The next prime is 3322337. The reversal of 3322305 is 5032233.

It is not a de Polignac number, because 3322305 - 25 = 3322273 is a prime.

It is a super-2 number, since 2×33223052 = 22075421026050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16596 + ... + 16794.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 23322305 is an apocalyptic number.

3322305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3322305 is an abundant number, since it is smaller than the sum of its proper divisors (3416895).

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

3322305 is a wasteful number, since it uses less digits than its factorization.

3322305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3322305 is about 1822.7191226297. The cubic root of 3322305 is about 149.2152347837.

Adding to 3322305 its reverse (5032233), we get a palindrome (8354538).

The spelling of 3322305 in words is "three million, three hundred twenty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 199 265 315 371 477 597 795 995 1113 1393 1791 1855 2385 2985 3339 4179 5565 6965 8955 10547 12537 16695 20895 31641 52735 62685 73829 94923 158205 221487 369145 474615 664461 1107435 3322305