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3405996 = 2233114761
BaseRepresentation
bin1100111111100010101100
320102001011000
430333202230
51332442441
6201000300
740644006
oct14774254
96361130
103405996
111a16a80
121183090
139233a9
14649376
154742b6
hex33f8ac

3405996 has 96 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 993600.

The previous prime is 3405979. The next prime is 3406003. The reversal of 3405996 is 6995043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3405996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55806 + ... + 55866.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 23405996 is an apocalyptic number.

3405996 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 3405996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3405996 is an abundant number, since it is smaller than the sum of its proper divisors (6593364).

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

3405996 is a wasteful number, since it uses less digits than its factorization.

3405996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3405996 is about 1845.5340690434. The cubic root of 3405996 is about 150.4578013646.

It can be divided in two parts, 340 and 5996, that added together give a palindrome (6336).

The spelling of 3405996 in words is "three million, four hundred five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 61 66 94 99 108 122 132 141 183 188 198 244 282 297 366 396 423 517 549 564 594 671 732 846 1034 1098 1188 1269 1342 1551 1647 1692 2013 2068 2196 2538 2684 2867 3102 3294 4026 4653 5076 5734 6039 6204 6588 8052 8601 9306 11468 12078 13959 17202 18117 18612 24156 25803 27918 31537 34404 36234 51606 55836 63074 72468 77409 94611 103212 126148 154818 189222 283833 309636 378444 567666 851499 1135332 1702998 3405996