Search a number
-
+
330010000 = 245461541
BaseRepresentation
bin10011101010111…
…000110110010000
3211222222020121121
4103222320312100
51133440310000
652425132024
711115016165
oct2352706620
9758866547
10330010000
1115a311441
129262a014
13534a74b8
1431b8606c
151de8ab1a
hex13ab8d90

330010000 has 100 divisors (see below), whose sum is σ = 813586444. Its totient is φ = 129600000.

The previous prime is 330009989. The next prime is 330010019. The reversal of 330010000 is 10033.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 322849024 + 7160976 = 17968^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 609730 + ... + 610270.

Almost surely, 2330010000 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 330010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406793222).

330010000 is an abundant number, since it is smaller than the sum of its proper divisors (483576444).

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

330010000 is an equidigital number, since it uses as much as digits as its factorization.

330010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 330010000 is about 18166.1773634411. The cubic root of 330010000 is about 691.0493031561.

Adding to 330010000 its reverse (10033), we get a palindrome (330020033).

The spelling of 330010000 in words is "three hundred thirty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 541 610 625 976 1000 1082 1220 1250 1525 2000 2164 2440 2500 2705 3050 4328 4880 5000 5410 6100 7625 8656 10000 10820 12200 13525 15250 21640 24400 27050 30500 33001 38125 43280 54100 61000 66002 67625 76250 108200 122000 132004 135250 152500 165005 216400 264008 270500 305000 330010 338125 528016 541000 610000 660020 676250 825025 1082000 1320040 1352500 1650050 2640080 2705000 3300100 4125125 5410000 6600200 8250250 13200400 16500500 20625625 33001000 41251250 66002000 82502500 165005000 330010000