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1220328 = 233217997
BaseRepresentation
bin100101001111011101000
32021222222100
410221323220
5303022303
642053400
713241544
oct4517350
92258870
101220328
1176393a
124aa260
133395b5
1423aa24
151918a3
hex129ee8

1220328 has 48 divisors (see below), whose sum is σ = 3502980. Its totient is φ = 382464.

The previous prime is 1220327. The next prime is 1220333. The reversal of 1220328 is 8230221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1077444 + 142884 = 1038^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1220328.

It is not an unprimeable number, because it can be changed into a prime (1220327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726 + ... + 1722.

21220328 is an apocalyptic number.

1220328 is a gapful number since it is divisible by the number (18) 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 1220328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751490).

1220328 is an abundant number, since it is smaller than the sum of its proper divisors (2282652).

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

1220328 is a wasteful number, since it uses less digits than its factorization.

1220328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1220328 is about 1104.6845703639. The cubic root of 1220328 is about 106.8625480517.

Adding to 1220328 its reverse (8230221), we get a palindrome (9450549).

The spelling of 1220328 in words is "one million, two hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 997 1224 1994 2991 3988 5982 7976 8973 11964 16949 17946 23928 33898 35892 50847 67796 71784 101694 135592 152541 203388 305082 406776 610164 1220328