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3322368 = 29327103
BaseRepresentation
bin1100101011001000000000
320020210102200
430223020000
51322303433
6155113200
740145130
oct14531000
96223380
103322368
11196a165
121142800
138c42ca
14626ac0
15459613
hex32b200

3322368 has 120 divisors (see below), whose sum is σ = 11064768. Its totient is φ = 940032.

The previous prime is 3322367. The next prime is 3322369. The reversal of 3322368 is 8632233.

It is an interprime number because it is at equal distance from previous prime (3322367) and next prime (3322369).

It is a super-2 number, since 2×33223682 = 22076258254848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3322367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32205 + ... + 32307.

Almost surely, 23322368 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 3322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532384).

3322368 is an abundant number, since it is smaller than the sum of its proper divisors (7742400).

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

3322368 is a wasteful number, since it uses less digits than its factorization.

3322368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3322368 is about 1822.7364044206. The cubic root of 3322368 is about 149.2161779543.

The spelling of 3322368 in words is "three million, three hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 103 112 126 128 144 168 192 206 224 252 256 288 309 336 384 412 448 504 512 576 618 672 721 768 824 896 927 1008 1152 1236 1344 1442 1536 1648 1792 1854 2016 2163 2304 2472 2688 2884 3296 3584 3708 4032 4326 4608 4944 5376 5768 6489 6592 7416 8064 8652 9888 10752 11536 12978 13184 14832 16128 17304 19776 23072 25956 26368 29664 32256 34608 39552 46144 51912 52736 59328 69216 79104 92288 103824 118656 138432 158208 184576 207648 237312 276864 369152 415296 474624 553728 830592 1107456 1661184 3322368