Search a number
-
+
3423210440 = 23513173531097
BaseRepresentation
bin1100110000001010…
…0000101111001000
322211120101002220212
43030002200233020
524002320213230
61323403140252
7150554544236
oct31402405710
98746332825
103423210440
1114a7349741
127b6514688
13427291610
142468cd956
151507de895
hexcc0a0bc8

3423210440 has 128 divisors (see below), whose sum is σ = 8815534560. Its totient is φ = 1185153024.

The previous prime is 3423210379. The next prime is 3423210443. The reversal of 3423210440 is 440123243.

It can be written as a sum of positive squares in 16 ways, for example, as 45508516 + 3377701924 = 6746^2 + 58118^2 .

It is a super-3 number, since 3×34232104403 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3423210443) 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, 3119972 + ... + 3121068.

Almost surely, 23423210440 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 3423210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407767280).

3423210440 is an abundant number, since it is smaller than the sum of its proper divisors (5392324120).

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

3423210440 is a wasteful number, since it uses less digits than its factorization.

3423210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3423210440 is about 58508.2083130222. The cubic root of 3423210440 is about 1507.1085465690.

Adding to 3423210440 its reverse (440123243), we get a palindrome (3863333683).

The spelling of 3423210440 in words is "three billion, four hundred twenty-three million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 353 442 520 680 706 884 1097 1105 1412 1765 1768 2194 2210 2824 3530 4388 4420 4589 5485 6001 7060 8776 8840 9178 10970 12002 14120 14261 18356 18649 21940 22945 24004 28522 30005 36712 37298 43880 45890 48008 57044 60010 71305 74596 78013 91780 93245 114088 120020 142610 149192 156026 183560 186490 240040 242437 285220 312052 372980 387241 390065 484874 570440 624104 745960 774482 780130 969748 1212185 1548964 1560260 1936205 1939496 2424370 3097928 3120520 3872410 4848740 5034133 6583097 7744820 9697480 10068266 13166194 15489640 20136532 25170665 26332388 32915485 40273064 50341330 52664776 65830970 85580261 100682660 131661940 171160522 201365320 263323880 342321044 427901305 684642088 855802610 1711605220 3423210440