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2032320330 = 232571557571
BaseRepresentation
bin111100100100010…
…1011111101001010
312020122011120101100
41321020223331022
513130233222310
6533355402230
7101235303105
oct17110537512
95218146340
102032320330
11953212387
12488753376
13265082511
14153cad73c
15bd648ec0
hex7922bf4a

2032320330 has 96 divisors (see below), whose sum is σ = 5377477248. Its totient is φ = 532425600.

The previous prime is 2032320317. The next prime is 2032320337. The reversal of 2032320330 is 330232302.

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

It is not an unprimeable number, because it can be changed into a prime (2032320337) 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 47 ways as a sum of consecutive naturals, for example, 3558945 + ... + 3559515.

It is an arithmetic number, because the mean of its divisors is an integer number (56015388).

Almost surely, 22032320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688738624).

2032320330 is an abundant number, since it is smaller than the sum of its proper divisors (3345156918).

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

2032320330 is a wasteful number, since it uses less digits than its factorization.

2032320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2032320330 is about 45081.2636247033. The cubic root of 2032320330 is about 1266.6716597987.

Adding to 2032320330 its reverse (330232302), we get a palindrome (2362552632).

The spelling of 2032320330 in words is "two billion, thirty-two million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 557 571 639 710 1065 1114 1142 1278 1671 1713 2130 2785 2855 3195 3342 3426 5013 5139 5570 5710 6390 8355 8565 10026 10278 16710 17130 25065 25695 39547 40541 50130 51390 79094 81082 118641 121623 197735 202705 237282 243246 318047 355923 364869 395470 405410 593205 608115 636094 711846 729738 954141 1186410 1216230 1590235 1779615 1824345 1908282 2862423 3180470 3559230 3648690 4770705 5724846 9541410 14312115 22581337 28624230 45162674 67744011 112906685 135488022 203232033 225813370 338720055 406464066 677440110 1016160165 2032320330