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330412050 = 232522572857
BaseRepresentation
bin10011101100011…
…011000000010010
3212000201200010100
4103230123000102
51134041141200
652441513230
711121312303
oct2354330022
9760650110
10330412050
1115a566511
12927a2816
13535b84b7
1431c4c7aa
151e019d00
hex13b1b012

330412050 has 72 divisors (see below), whose sum is σ = 891473076. Its totient is φ = 87736320.

The previous prime is 330412039. The next prime is 330412057. The reversal of 330412050 is 50214033.

It can be written as a sum of positive squares in 6 ways, for example, as 252142641 + 78269409 = 15879^2 + 8847^2 .

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

It is not an unprimeable number, because it can be changed into a prime (330412057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114222 + ... + 117078.

Almost surely, 2330412050 is an apocalyptic number.

330412050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330412050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445736538).

330412050 is an abundant number, since it is smaller than the sum of its proper divisors (561061026).

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

330412050 is a wasteful number, since it uses less digits than its factorization.

330412050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 330412050 is about 18177.2398894882. The cubic root of 330412050 is about 691.3298235642.

Adding to 330412050 its reverse (50214033), we get a palindrome (380626083).

The spelling of 330412050 in words is "three hundred thirty million, four hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 257 450 514 771 1285 1542 2313 2570 2857 3855 4626 5714 6425 7710 8571 11565 12850 14285 17142 19275 23130 25713 28570 38550 42855 51426 57825 71425 85710 115650 128565 142850 214275 257130 428550 642825 734249 1285650 1468498 2202747 3671245 4405494 6608241 7342490 11013735 13216482 18356225 22027470 33041205 36712450 55068675 66082410 110137350 165206025 330412050