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2041434340 = 2251119348079
BaseRepresentation
bin111100110101101…
…1101000011100100
312021021022121110021
41321223131003210
513140101344330
6534323004524
7101405622421
oct17153350344
95237277407
102041434340
11958377920
1248b809744
13266c23a1a
141551a2d48
15be34967a
hex79add0e4

2041434340 has 48 divisors (see below), whose sum is σ = 4701070080. Its totient is φ = 738478080.

The previous prime is 2041434313. The next prime is 2041434389. The reversal of 2041434340 is 434341402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18421 + ... + 66499.

It is an arithmetic number, because the mean of its divisors is an integer number (97938960).

Almost surely, 22041434340 is an apocalyptic number.

2041434340 is a gapful number since it is divisible by the number (20) 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 2041434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350535040).

2041434340 is an abundant number, since it is smaller than the sum of its proper divisors (2659635740).

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

2041434340 is a wasteful number, since it uses less digits than its factorization.

2041434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48292 (or 48290 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2041434340 is about 45182.2347831534. The cubic root of 2041434340 is about 1268.5623138290.

Adding to 2041434340 its reverse (434341402), we get a palindrome (2475775742).

The spelling of 2041434340 in words is "two billion, forty-one million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 8492 10615 21230 42460 48079 96158 192316 240395 480790 528869 961580 1057738 2115476 2644345 5288690 9279247 10577380 18558494 37116988 46396235 92792470 102071717 185584940 204143434 408286868 510358585 1020717170 2041434340