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3323328 = 26319911
BaseRepresentation
bin1100101011010111000000
320020211202020
430223113000
51322321303
6155121440
740151001
oct14532700
96224666
103323328
11196a958
121143280
138c4888
146271a8
15459a53
hex32b5c0

3323328 has 56 divisors (see below), whose sum is σ = 9265920. Its totient is φ = 1048320.

The previous prime is 3323311. The next prime is 3323399. The reversal of 3323328 is 8233233.

It is a Cunningham number, because it is equal to 18232-1.

It is a super-2 number, since 2×33233282 = 22089017991168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 32 + 39 + 217 + 39 + 312 + 219 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 3323298 and 3323307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3193 + ... + 4103.

Almost surely, 23323328 is an apocalyptic number.

3323328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632960).

3323328 is an abundant number, since it is smaller than the sum of its proper divisors (5942592).

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

3323328 is a wasteful number, since it uses less digits than its factorization.

3323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 3323328 is about 1822.9997257268. Note that the first 3 decimals coincide. The cubic root of 3323328 is about 149.2305486015.

The spelling of 3323328 in words is "three million, three hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 911 912 1216 1822 1824 2733 3644 3648 5466 7288 10932 14576 17309 21864 29152 34618 43728 51927 58304 69236 87456 103854 138472 174912 207708 276944 415416 553888 830832 1107776 1661664 3323328