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3331328 = 28711132
BaseRepresentation
bin1100101101010100000000
320021020201112
430231110000
51323100303
6155222452
740213220
oct14552400
96236645
103331328
111975970
121147a28
138c8400
1462a080
1545c0d8
hex32d500

3331328 has 108 divisors (see below), whose sum is σ = 8977248. Its totient is φ = 1198080.

The previous prime is 3331319. The next prime is 3331331. The reversal of 3331328 is 8231333.

It is a super-2 number, since 2×33313282 = 22195492487168, 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 11 ways as a sum of consecutive naturals, for example, 256250 + ... + 256262.

Almost surely, 23331328 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 3331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488624).

3331328 is an abundant number, since it is smaller than the sum of its proper divisors (5645920).

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

3331328 is a wasteful number, since it uses less digits than its factorization.

3331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 3331328 is about 1825.1925925776. The cubic root of 3331328 is about 149.3501965084.

It can be divided in two parts, 333 and 1328, that added together give a palindrome (1661).

The spelling of 3331328 in words is "three million, three hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 169 176 182 208 224 256 286 308 338 352 364 416 448 572 616 676 704 728 832 896 1001 1144 1183 1232 1352 1408 1456 1664 1792 1859 2002 2288 2366 2464 2704 2816 2912 3328 3718 4004 4576 4732 4928 5408 5824 7436 8008 9152 9464 9856 10816 11648 13013 14872 16016 18304 18928 19712 21632 23296 26026 29744 32032 36608 37856 43264 52052 59488 64064 75712 104104 118976 128128 151424 208208 237952 256256 302848 416416 475904 832832 1665664 3331328