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2040304332 = 2231123261479
BaseRepresentation
bin111100110011100…
…1001001011001100
312021012012012101010
41321213021023030
513134304214312
6534242445220
7101363205063
oct17147111314
95235165333
102040304332
11957775930
1248b363810
13266919591
14154d8b1da
15be1c493c
hex799c92cc

2040304332 has 144 divisors (see below), whose sum is σ = 5529646080. Its totient is φ = 580483200.

The previous prime is 2040304319. The next prime is 2040304337. The reversal of 2040304332 is 2334030402.

2040304332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2040304299 and 2040304308.

It is not an unprimeable number, because it can be changed into a prime (2040304337) 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, 4259269 + ... + 4259747.

It is an arithmetic number, because the mean of its divisors is an integer number (38400320).

Almost surely, 22040304332 is an apocalyptic number.

2040304332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040304332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764823040).

2040304332 is an abundant number, since it is smaller than the sum of its proper divisors (3489341748).

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

2040304332 is a wasteful number, since it uses less digits than its factorization.

2040304332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2040304332 is about 45169.7280487718. The cubic root of 2040304332 is about 1268.3282055337.

Adding to 2040304332 its reverse (2334030402), we get a palindrome (4374334734).

The spelling of 2040304332 in words is "two billion, forty million, three hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 61 66 69 92 122 132 138 183 244 253 276 366 479 506 529 671 732 759 958 1012 1058 1342 1403 1437 1518 1587 1916 2013 2116 2684 2806 2874 3036 3174 4026 4209 5269 5612 5748 5819 6348 8052 8418 10538 11017 11638 15433 15807 16836 17457 21076 22034 23276 29219 30866 31614 32269 33051 34914 44068 46299 58438 61732 63228 64538 66102 69828 87657 92598 96807 116876 121187 129076 132204 175314 185196 193614 242374 253391 321409 350628 354959 363561 387228 484748 506782 642818 672037 709918 727122 760173 964227 1013564 1064877 1285636 1344074 1419836 1454244 1520346 1928454 2016111 2129754 2688148 2787301 3040692 3856908 4032222 4259508 5574602 7392407 8064444 8361903 11149204 14784814 15456851 16723806 22177221 29569628 30913702 33447612 44354442 46370553 61827404 88708884 92741106 170025361 185482212 340050722 510076083 680101444 1020152166 2040304332