Search a number
-
+
1330040430 = 2325312771721
BaseRepresentation
bin100111101000110…
…1100111001101110
310102200201001110200
41033101230321232
510210442243210
6335551214330
744650104615
oct11721547156
93380631420
101330040430
11622856074
123115173a6
13182725494
14c890087c
157bb760c0
hex4f46ce6e

1330040430 has 96 divisors (see below), whose sum is σ = 3584625408. Its totient is φ = 341798400.

The previous prime is 1330040351. The next prime is 1330040431. The reversal of 1330040430 is 340400331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330040431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771970 + ... + 773690.

It is an arithmetic number, because the mean of its divisors is an integer number (37339848).

Almost surely, 21330040430 is an apocalyptic number.

1330040430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792312704).

1330040430 is an abundant number, since it is smaller than the sum of its proper divisors (2254584978).

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

1330040430 is a wasteful number, since it uses less digits than its factorization.

1330040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1330040430 is about 36469.7193572970. The cubic root of 1330040430 is about 1099.7355920965.

Adding to 1330040430 its reverse (340400331), we get a palindrome (1670440761).

The spelling of 1330040430 in words is "one billion, three hundred thirty million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 277 279 310 465 554 558 831 930 1385 1395 1662 1721 2493 2770 2790 3442 4155 4986 5163 8310 8587 8605 10326 12465 15489 17174 17210 24930 25761 25815 30978 42935 51522 51630 53351 77283 77445 85870 106702 128805 154566 154890 160053 257610 266755 320106 386415 476717 480159 533510 772830 800265 953434 960318 1430151 1600530 2383585 2400795 2860302 4290453 4767170 4801590 7150755 8580906 14301510 14778227 21452265 29556454 42904530 44334681 73891135 88669362 133004043 147782270 221673405 266008086 443346810 665020215 1330040430