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330410240 = 285293881
BaseRepresentation
bin10011101100011…
…010100100000000
3212000201120122022
4103230122210000
51134041111430
652441501012
711121304106
oct2354324400
9760646568
10330410240
1115a565116
12927a1768
13535b7724
1431c4bc76
151e0194e5
hex13b1a900

330410240 has 72 divisors (see below), whose sum is σ = 795038328. Its totient is φ = 131563520.

The previous prime is 330410233. The next prime is 330410243. The reversal of 330410240 is 42014033.

It can be written as a sum of positive squares in 4 ways, for example, as 55115776 + 275294464 = 7424^2 + 16592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330410243) 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 7 ways as a sum of consecutive naturals, for example, 374600 + ... + 375480.

It is an arithmetic number, because the mean of its divisors is an integer number (11042199).

Almost surely, 2330410240 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 330410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397519164).

330410240 is an abundant number, since it is smaller than the sum of its proper divisors (464628088).

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

330410240 is an equidigital number, since it uses as much as digits as its factorization.

330410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 330410240 is about 18177.1901018832. The cubic root of 330410240 is about 691.3285611917.

Adding to 330410240 its reverse (42014033), we get a palindrome (372424273).

The spelling of 330410240 in words is "three hundred thirty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 586 640 881 1172 1280 1465 1762 2344 2930 3524 4405 4688 5860 7048 8810 9376 11720 14096 17620 18752 23440 28192 35240 37504 46880 56384 70480 75008 93760 112768 140960 187520 225536 258133 281920 375040 516266 563840 1032532 1127680 1290665 2065064 2581330 4130128 5162660 8260256 10325320 16520512 20650640 33041024 41301280 66082048 82602560 165205120 330410240