Search a number
-
+
330161850 = 232521734241
BaseRepresentation
bin10011101011011…
…101111010111010
3212000020221220200
4103223131322322
51134010134400
652432303030
711116220664
oct2353357272
9760227820
10330161850
1115a405537
12926a1a76
135352b655
1431bc5534
151debab00
hex13addeba

330161850 has 72 divisors (see below), whose sum is σ = 892372572. Its totient is φ = 87513600.

The previous prime is 330161837. The next prime is 330161851. The reversal of 330161850 is 58161033.

It can be written as a sum of positive squares in 6 ways, for example, as 290054961 + 40106889 = 17031^2 + 6333^2 .

It is not an unprimeable number, because it can be changed into a prime (330161851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75730 + ... + 79970.

Almost surely, 2330161850 is an apocalyptic number.

330161850 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 330161850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446186286).

330161850 is an abundant number, since it is smaller than the sum of its proper divisors (562210722).

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

330161850 is a wasteful number, since it uses less digits than its factorization.

330161850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 330161850 is about 18170.3563531374. The cubic root of 330161850 is about 691.1552794859.

The spelling of 330161850 in words is "three hundred thirty million, one hundred sixty-one thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 173 225 346 450 519 865 1038 1557 1730 2595 3114 4241 4325 5190 7785 8482 8650 12723 12975 15570 21205 25446 25950 38169 38925 42410 63615 76338 77850 106025 127230 190845 212050 318075 381690 636150 733693 954225 1467386 1908450 2201079 3668465 4402158 6603237 7336930 11005395 13206474 18342325 22010790 33016185 36684650 55026975 66032370 110053950 165080925 330161850