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353228328 = 23324905949
BaseRepresentation
bin10101000011011…
…101011000101000
3220121122212011200
4111003131120220
51210411301303
655014524200
711516251125
oct2503353050
9817585150
10353228328
1117142a742
129a366660
135824675b
1434cab74c
15210253a3
hex150dd628

353228328 has 24 divisors (see below), whose sum is σ = 956660250. Its totient is φ = 117742752.

The previous prime is 353228327. The next prime is 353228341. The reversal of 353228328 is 823822353.

It is a happy number.

353228328 is a `hidden beast` number, since 3 + 5 + 322 + 8 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 333354564 + 19873764 = 18258^2 + 4458^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 353228292 and 353228301.

It is not an unprimeable number, because it can be changed into a prime (353228321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2452903 + ... + 2453046.

Almost surely, 2353228328 is an apocalyptic number.

It is an amenable number.

353228328 is an abundant number, since it is smaller than the sum of its proper divisors (603431922).

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

353228328 is a wasteful number, since it uses less digits than its factorization.

353228328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905961 (or 4905954 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 353228328 is about 18794.3695824042. The cubic root of 353228328 is about 706.8900063420.

The spelling of 353228328 in words is "three hundred fifty-three million, two hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4905949 9811898 14717847 19623796 29435694 39247592 44153541 58871388 88307082 117742776 176614164 353228328