Search a number
-
+
330731380 = 225722811201
BaseRepresentation
bin10011101101101…
…000111101110100
3212001022220011101
4103231220331310
51134131401010
652452415444
711124112300
oct2355507564
9761286141
10330731380
1115a764421
1292917584
135369a955
1431cd2d00
151e07e73a
hex13b68f74

330731380 has 72 divisors (see below), whose sum is σ = 811479816. Its totient is φ = 112896000.

The previous prime is 330731353. The next prime is 330731383. The reversal of 330731380 is 83137033.

330731380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 330221584 = 714^2 + 18172^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330731383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274780 + ... + 275980.

It is an arithmetic number, because the mean of its divisors is an integer number (11270553).

Almost surely, 2330731380 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 330731380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405739908).

330731380 is an abundant number, since it is smaller than the sum of its proper divisors (480748436).

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

330731380 is a wasteful number, since it uses less digits than its factorization.

330731380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 330731380 is about 18186.0215550296. The cubic root of 330731380 is about 691.5524660409.

It can be divided in two parts, 33073 and 1380, that added together give a triangular number (34453 = T262).

The spelling of 330731380 in words is "three hundred thirty million, seven hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 281 490 562 980 1124 1201 1405 1967 2402 2810 3934 4804 5620 6005 7868 8407 9835 12010 13769 16814 19670 24020 27538 33628 39340 42035 55076 58849 68845 84070 117698 137690 168140 235396 275380 294245 337481 588490 674962 1176980 1349924 1687405 2362367 3374810 4724734 6749620 9449468 11811835 16536569 23623670 33073138 47247340 66146276 82682845 165365690 330731380