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2043034420 = 2257213715217
BaseRepresentation
bin111100111000110…
…0011101100110100
312021101022220100111
41321301203230310
513141004100140
6534421152404
7101425335400
oct17161435464
95241286314
102043034420
1195926aaa9
1249025b704
1326736410b
1415549c100
15be5637ea
hex79c63b34

2043034420 has 72 divisors (see below), whose sum is σ = 5027601096. Its totient is φ = 695310336.

The previous prime is 2043034397. The next prime is 2043034421. The reversal of 2043034420 is 244303402.

It can be written as a sum of positive squares in 4 ways, for example, as 581195664 + 1461838756 = 24108^2 + 38234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2043034391 and 2043034400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043034421) 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, 126652 + ... + 141868.

It is an arithmetic number, because the mean of its divisors is an integer number (69827793).

Almost surely, 22043034420 is an apocalyptic number.

2043034420 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 2043034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513800548).

2043034420 is an abundant number, since it is smaller than the sum of its proper divisors (2984566676).

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

2043034420 is a wasteful number, since it uses less digits than its factorization.

2043034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377 (or 15368 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2043034420 is about 45199.9382742941. The cubic root of 2043034420 is about 1268.8936611008.

Adding to 2043034420 its reverse (244303402), we get a palindrome (2287337822).

The spelling of 2043034420 in words is "two billion, forty-three million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 196 245 274 490 548 685 959 980 1370 1918 2740 3836 4795 6713 9590 13426 15217 19180 26852 30434 33565 60868 67130 76085 106519 134260 152170 213038 304340 426076 532595 745633 1065190 1491266 2084729 2130380 2982532 3728165 4169458 7456330 8338916 10423645 14593103 14912660 20847290 29186206 41694580 58372412 72965515 102151721 145931030 204303442 291862060 408606884 510758605 1021517210 2043034420