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2000404404 = 2233137353383
BaseRepresentation
bin111011100111011…
…1011111110110100
312011102010001222000
41313032323332310
513044100420104
6530255335300
7100400104545
oct16716737664
95142101860
102000404404
119371a3489
12479b21530
1325b58945b
1414d9624cc
15ba942639
hex773bbfb4

2000404404 has 96 divisors (see below), whose sum is σ = 5252567040. Its totient is φ = 658335744.

The previous prime is 2000404321. The next prime is 2000404409. The reversal of 2000404404 is 4044040002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000404409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5222797 + ... + 5223179.

It is an arithmetic number, because the mean of its divisors is an integer number (54714240).

Almost surely, 22000404404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000404404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626283520).

2000404404 is an abundant number, since it is smaller than the sum of its proper divisors (3252162636).

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

2000404404 is a wasteful number, since it uses less digits than its factorization.

2000404404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2000404404 is about 44725.8806956330. The cubic root of 2000404404 is about 1260.0059636906.

Adding to 2000404404 its reverse (4044040002), we get a palindrome (6044444406).

The spelling of 2000404404 in words is "two billion, four hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 353 383 411 548 706 766 822 1059 1149 1233 1412 1532 1644 2118 2298 2466 3177 3447 3699 4236 4596 4932 6354 6894 7398 9531 10341 12708 13788 14796 19062 20682 38124 41364 48361 52471 96722 104942 135199 145083 157413 193444 209884 270398 290166 314826 405597 435249 472239 540796 580332 629652 811194 870498 944478 1216791 1305747 1416717 1622388 1740996 1888956 2433582 2611494 2833434 3650373 4867164 5222988 5666868 7300746 14601492 18522263 37044526 55566789 74089052 111133578 166700367 222267156 333400734 500101101 666801468 1000202202 2000404404