Search a number
-
+
335324000 = 2553117621
BaseRepresentation
bin10011111111001…
…010001101100000
3212100222020001102
4103333022031200
51141320332000
653135053532
711211130664
oct2377121540
9770866042
10335324000
11162310980
12943712a8
135461818b
143276a8a4
151e68a3d5
hex13fca360

335324000 has 96 divisors (see below), whose sum is σ = 898908192. Its totient is φ = 121920000.

The previous prime is 335323999. The next prime is 335324009. The reversal of 335324000 is 423533.

It is a super-2 number, since 2×3353240002 = 224884369952000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335324009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40190 + ... + 47810.

It is an arithmetic number, because the mean of its divisors is an integer number (9363627).

Almost surely, 2335324000 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 335324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449454096).

335324000 is an abundant number, since it is smaller than the sum of its proper divisors (563584192).

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

335324000 is a wasteful number, since it uses less digits than its factorization.

335324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 335324000 is about 18311.8540841718. The cubic root of 335324000 is about 694.7387869873.

Adding to 335324000 its reverse (423533), we get a palindrome (335747533).

The spelling of 335324000 in words is "three hundred thirty-five million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 7621 8800 11000 15242 22000 30484 38105 44000 60968 76210 83831 121936 152420 167662 190525 243872 304840 335324 381050 419155 609680 670648 762100 838310 952625 1219360 1341296 1524200 1676620 1905250 2095775 2682592 3048400 3353240 3810500 4191550 6096800 6706480 7621000 8383100 10478875 13412960 15242000 16766200 20957750 30484000 33532400 41915500 67064800 83831000 167662000 335324000