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3424410036 = 2232414749363
BaseRepresentation
bin1100110000011100…
…0101100110110100
322211122122001110100
43030013011212310
524003122110121
61323444554100
7150601001505
oct31407054664
98748561410
103424410036
1114a7a98a43
127b69b2930
134275c1638
14246b22bac
1515097a026
hexcc1c59b4

3424410036 has 72 divisors (see below), whose sum is σ = 9056121984. Its totient is φ = 1089912960.

The previous prime is 3424410029. The next prime is 3424410107. The reversal of 3424410036 is 6300144243.

It is a junction number, because it is equal to n+sod(n) for n = 3424409991 and 3424410009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44691 + ... + 94053.

It is an arithmetic number, because the mean of its divisors is an integer number (125779472).

Almost surely, 23424410036 is an apocalyptic number.

3424410036 is a gapful number since it is divisible by the number (36) 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 3424410036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528060992).

3424410036 is an abundant number, since it is smaller than the sum of its proper divisors (5631711948).

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

3424410036 is a wasteful number, since it uses less digits than its factorization.

3424410036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49461 (or 49456 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3424410036 is about 58518.4589339125. The cubic root of 3424410036 is about 1507.2845714121.

Adding to 3424410036 its reverse (6300144243), we get a palindrome (9724554279).

The spelling of 3424410036 in words is "three billion, four hundred twenty-four million, four hundred ten thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 738 846 1476 1692 1927 3854 5781 7708 11562 17343 23124 34686 49363 69372 98726 148089 197452 296178 444267 592356 888534 1777068 2023883 2320061 4047766 4640122 6071649 6960183 8095532 9280244 12143298 13920366 18214947 20880549 24286596 27840732 36429894 41761098 72859788 83522196 95122501 190245002 285367503 380490004 570735006 856102509 1141470012 1712205018 3424410036