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2034404020 = 2251116755373
BaseRepresentation
bin111100101000010…
…1000101010110100
312020210002102200001
41321100220222310
513131301412040
6533512201044
7101262102025
oct17120505264
95223072601
102034404020
11954405940
12489399184
13265631a7c
14154292c4c
15bd90b59a
hex79428ab4

2034404020 has 48 divisors (see below), whose sum is σ = 4688627328. Its totient is φ = 735340160.

The previous prime is 2034404011. The next prime is 2034404023. The reversal of 2034404020 is 204044302.

2034404020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034404023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9054 + ... + 64426.

It is an arithmetic number, because the mean of its divisors is an integer number (97679736).

Almost surely, 22034404020 is an apocalyptic number.

2034404020 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 2034404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344313664).

2034404020 is an abundant number, since it is smaller than the sum of its proper divisors (2654223308).

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

2034404020 is a wasteful number, since it uses less digits than its factorization.

2034404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55560 (or 55558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2034404020 is about 45104.3680811515. The cubic root of 2034404020 is about 1267.1044081084.

Adding to 2034404020 its reverse (204044302), we get a palindrome (2238448322).

The spelling of 2034404020 in words is "two billion, thirty-four million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 55373 110746 221492 276865 553730 609103 1107460 1218206 2436412 3045515 6091030 9247291 12182060 18494582 36989164 46236455 92472910 101720201 184945820 203440402 406880804 508601005 1017202010 2034404020