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330115040 = 25518111399
BaseRepresentation
bin10011101011010…
…010011111100000
3212000011120200222
4103223102133200
51134002140130
652431302212
711115634343
oct2353223740
9760146628
10330115040
1115a383352
129267a968
1353513258
1431bb245a
151deabce5
hex13ad27e0

330115040 has 48 divisors (see below), whose sum is σ = 784274400. Its totient is φ = 131304960.

The previous prime is 330115039. The next prime is 330115043. The reversal of 330115040 is 40511033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330115043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23261 + ... + 34659.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2330115040 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 330115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

330115040 is an abundant number, since it is smaller than the sum of its proper divisors (454159360).

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

330115040 is a wasteful number, since it uses less digits than its factorization.

330115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11595 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 330115040 is about 18169.0682204674. The cubic root of 330115040 is about 691.1226141858.

Adding to 330115040 its reverse (40511033), we get a palindrome (370626073).

The spelling of 330115040 in words is "three hundred thirty million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 7240 11399 14480 22798 28960 45596 56995 91192 113990 182384 227980 364768 455960 911920 1823840 2063219 4126438 8252876 10316095 16505752 20632190 33011504 41264380 66023008 82528760 165057520 330115040