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3322000 = 245311151
BaseRepresentation
bin1100101011000010010000
320020202221001
430223002100
51322301000
6155111344
740144063
oct14530220
96222831
103322000
111969960
121142554
138c40a6
146268da
1545946a
hex32b090

3322000 has 80 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 1200000.

The previous prime is 3321977. The next prime is 3322001. The reversal of 3322000 is 2233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33220002 = 22071368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (3322001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21925 + ... + 22075.

Almost surely, 23322000 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 3322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

3322000 is an abundant number, since it is smaller than the sum of its proper divisors (5498864).

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

3322000 is a wasteful number, since it uses less digits than its factorization.

3322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3322000 is about 1822.6354544999. The cubic root of 3322000 is about 149.2106684722.

Adding to 3322000 its reverse (2233), we get a palindrome (3324233).

It can be divided in two parts, 332 and 2000, that added together give a palindrome (2332).

The spelling of 3322000 in words is "three million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 151 176 200 220 250 275 302 400 440 500 550 604 755 880 1000 1100 1208 1375 1510 1661 2000 2200 2416 2750 3020 3322 3775 4400 5500 6040 6644 7550 8305 11000 12080 13288 15100 16610 18875 22000 26576 30200 33220 37750 41525 60400 66440 75500 83050 132880 151000 166100 207625 302000 332200 415250 664400 830500 1661000 3322000