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330303140 = 225312232389
BaseRepresentation
bin10011101100000…
…000011010100100
3212000112010201122
4103230000122210
51134024200030
652435313112
711120346626
oct2354003244
9760463648
10330303140
1115a4a1702
129274b798
135357aa5b
1431c20c16
151dee78e5
hex13b006a4

330303140 has 48 divisors (see below), whose sum is σ = 719523840. Its totient is φ = 127232640.

The previous prime is 330303137. The next prime is 330303143. The reversal of 330303140 is 41303033.

330303140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330303137) and next prime (330303143).

It is a super-3 number, since 3×3303031403 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (330303143) 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 15 ways as a sum of consecutive naturals, for example, 137066 + ... + 139454.

It is an arithmetic number, because the mean of its divisors is an integer number (14990080).

Almost surely, 2330303140 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 330303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359761920).

330303140 is an abundant number, since it is smaller than the sum of its proper divisors (389220700).

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

330303140 is a wasteful number, since it uses less digits than its factorization.

330303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 330303140 is about 18174.2438632258. The cubic root of 330303140 is about 691.2538567976.

Adding to 330303140 its reverse (41303033), we get a palindrome (371606173).

The spelling of 330303140 in words is "three hundred thirty million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 223 310 446 620 892 1115 2230 2389 4460 4778 6913 9556 11945 13826 23890 27652 34565 47780 69130 74059 138260 148118 296236 370295 532747 740590 1065494 1481180 2130988 2663735 5327470 10654940 16515157 33030314 66060628 82575785 165151570 330303140