Search a number
-
+
331324480 = 2652234643
BaseRepresentation
bin10011101111111…
…001110001000000
3212002110000202001
4103233321301000
51134304340410
652513233344
711132132404
oct2357716100
9762400661
10331324480
11160029a93
1292b62854
13538478b6
1432009104
151e14a33a
hex13bf9c40

331324480 has 56 divisors (see below), whose sum is σ = 792675072. Its totient is φ = 131907072.

The previous prime is 331324459. The next prime is 331324481. The reversal of 331324480 is 84423133.

It is a super-2 number, since 2×3313244802 = 219551822094540800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331324481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69039 + ... + 73681.

It is an arithmetic number, because the mean of its divisors is an integer number (14154912).

Almost surely, 2331324480 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 331324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396337536).

331324480 is an abundant number, since it is smaller than the sum of its proper divisors (461350592).

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

331324480 is a wasteful number, since it uses less digits than its factorization.

331324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 331324480 is about 18202.3207311595. The cubic root of 331324480 is about 691.9656057838.

The spelling of 331324480 in words is "three hundred thirty-one million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 223 320 446 892 1115 1784 2230 3568 4460 4643 7136 8920 9286 14272 17840 18572 23215 35680 37144 46430 71360 74288 92860 148576 185720 297152 371440 742880 1035389 1485760 2070778 4141556 5176945 8283112 10353890 16566224 20707780 33132448 41415560 66264896 82831120 165662240 331324480