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3404050420 = 22517411132161
BaseRepresentation
bin1100101011100101…
…1010111111110100
322210020022200022111
43022321122333310
523432414103140
61321440340404
7150232644151
oct31271327764
98706280274
103404050420
111497552511
127b0014704
13423313624
14244143228
1514dca77ea
hexcae5aff4

3404050420 has 96 divisors (see below), whose sum is σ = 7825851936. Its totient is φ = 1238630400.

The previous prime is 3404050411. The next prime is 3404050427. The reversal of 3404050420 is 240504043.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1954877796 + 1449172624 = 44214^2 + 38068^2 .

It is a super-3 number, since 3×34040504203 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3404050391 and 3404050400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404050427) 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, 1574140 + ... + 1576300.

It is an arithmetic number, because the mean of its divisors is an integer number (81519291).

Almost surely, 23404050420 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 3404050420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912925968).

3404050420 is an abundant number, since it is smaller than the sum of its proper divisors (4421801516).

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

3404050420 is a wasteful number, since it uses less digits than its factorization.

3404050420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 3404050420 is about 58344.2406754943. The cubic root of 3404050420 is about 1504.2914763707.

Adding to 3404050420 its reverse (240504043), we get a palindrome (3644554463).

The spelling of 3404050420 in words is "three billion, four hundred four million, fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 113 164 170 205 226 340 410 452 565 697 820 1130 1394 1921 2161 2260 2788 3485 3842 4322 4633 6970 7684 8644 9266 9605 10805 13940 18532 19210 21610 23165 36737 38420 43220 46330 73474 78761 88601 92660 146948 157522 177202 183685 244193 315044 354404 367370 393805 443005 488386 734740 787610 886010 976772 1220965 1506217 1575220 1772020 2441930 3012434 4151281 4883860 6024868 7531085 8302562 10011913 15062170 16605124 20023826 20756405 30124340 40047652 41512810 50059565 83025620 100119130 170202521 200238260 340405042 680810084 851012605 1702025210 3404050420